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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/fce43bc3-96a1-48a8-b080-a10c9e2f5a81/Screen+Shot+2024-02-01+at+8.34.51+AM.png</image:loc>
      <image:title>Krista King Math | Blog - Pivot entries and row-echelon forms - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/74a4b8e8-719d-475d-ba66-23a7bd09f19d/KKMath-11social.jpg</image:loc>
      <image:title>Krista King Math | Blog - Pivot entries and row-echelon forms - Now all the pivot entries are 1, the zeroed-out row is at the bottom, the pivot entries follow a staircase pattern, and all the pivot columns include only the pivot entry, and otherwise all 0 entries. So the matrix is in reduced row-echelon form.</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/8818f33d-f606-492e-859f-ef2f5ef75381/Screen+Shot+2024-02-01+at+8.35.03+AM.png</image:loc>
      <image:title>Krista King Math | Blog - Pivot entries and row-echelon forms - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - Pivot entries and row-echelon forms</image:title>
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  <url>
    <loc>https://www.kristakingmath.com/blog/linear-equations</loc>
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    <lastmod>2024-03-11</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/406c9b59-2fec-49d3-b379-4c5dfcc9f28b/Differential+Equations+blog+template.004.png</image:loc>
      <image:title>Krista King Math | Blog - Solving linear differential equations</image:title>
    </image:image>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - Solving linear differential equations - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - Solving linear differential equations</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550464378472-H2A166PJ27LF62ZHNKNW/Differential+Equations+course.png</image:loc>
      <image:title>Krista King Math | Blog - Solving linear differential equations</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/06965a01-bba1-42de-83e7-22064c05501a/KKMath-4social.jpg</image:loc>
      <image:title>Krista King Math | Blog - Solving linear differential equations - Once we have the equation in this form, we integrate both sides (Step 6). On the left, the integral and the derivative cancel out, since they are inverse operations.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - Solving linear differential equations</image:title>
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    <loc>https://www.kristakingmath.com/blog/reparametrizing-the-curve</loc>
    <changefreq>monthly</changefreq>
    <priority>0.5</priority>
    <lastmod>2024-03-08</lastmod>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1551086926195-NPW7HY1DJLK9N03VJ35D/Reparametrizing+the+curve+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - How to reparametrize a curve in terms of arc length</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to reparametrize a curve in terms of arc length - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - How to reparametrize a curve in terms of arc length</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550464236135-7577EF59FCX7CR1G5UA2/Calculus+3+course.png</image:loc>
      <image:title>Krista King Math | Blog - How to reparametrize a curve in terms of arc length</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1551087025618-01LQT52B64VQUBBXTGKZ/Reparametrizing+the+curve+for+Vectors.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to reparametrize a curve in terms of arc length - To reparametrize the curve with respect to arc length, we’ll have to find the arc length of the vector function.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - How to reparametrize a curve in terms of arc length</image:title>
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    <loc>https://www.kristakingmath.com/blog/power-rule-for-derivatives</loc>
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    <priority>0.5</priority>
    <lastmod>2024-03-02</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/bb3925d7-6613-4d76-bf30-23b95e70becf/Blog+post+template.001.png</image:loc>
      <image:title>Krista King Math | Blog - Power rule for derivatives</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - Power rule for derivatives - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - Power rule for derivatives</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550463852094-HAKPVN93HTJW7NSMDZOK/Calculus+1+course.png</image:loc>
      <image:title>Krista King Math | Blog - Power rule for derivatives</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/a27fbcfb-e5c8-4627-a535-8fd11bb6177c/KKMath-20social.jpg</image:loc>
      <image:title>Krista King Math | Blog - Power rule for derivatives - Similarly, power rule tells us that the derivative of any constant will always be 0. In other words, the derivative of -3 is 0, the derivative of 7 is 0, and the derivative of 1 is 0.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - Power rule for derivatives</image:title>
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  <url>
    <loc>https://www.kristakingmath.com/blog/solving-the-ax-b-matrix-equation</loc>
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    <priority>0.5</priority>
    <lastmod>2024-03-02</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1628029188041-Q2UG2WALAD1CW3HM4KI3/Solving+Ax%3Db.jpeg</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b</image:title>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1626702831762-MBG4SJA61P73DBVCJTJ0/Linear+Algebra+course.png</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/434a4759-0818-464d-83b7-c8ae686b3d25/Screen+Shot+2024-02-08+at+12.55.47+PM.png</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/175c185c-98d5-40ee-86ca-7801ff46664f/Screen+Shot+2024-02-08+at+12.55.55+PM.png</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/02e2dc00-da31-4c6a-83e7-97ce215ab4b5/Screen+Shot+2024-02-08+at+12.56.03+PM.png</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/6438e1d3-ce65-47f3-8bbd-0d674873e5fe/Screen+Shot+2024-02-08+at+12.56.10+PM.png</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/582dfecb-73a8-47df-8cf7-86c5007f473e/Screen+Shot+2024-02-08+at+12.56.17+PM.png</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/0a579201-59a5-40b1-9dd0-1e48b79a4493/Screen+Shot+2024-02-08+at+12.56.30+PM.png</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/be6c797b-668b-4422-b947-6d27547f5543/Screen+Shot+2024-02-08+at+12.56.38+PM.png</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/654b8060-ba0b-4701-bd98-345bc01b6ab2/Screen+Shot+2024-02-08+at+12.56.45+PM.png</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/2d515db6-51bb-4714-9c56-645e98c4a88c/Screen+Shot+2024-02-08+at+12.57.16+PM.png</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/dcbbcdf5-1f95-4b9d-bf0c-b8125acaed25/Screen+Shot+2024-02-08+at+12.57.24+PM.png</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/f230fd29-dd35-4e39-97fd-19716ae45466/KKMath-6social.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b - This should remind you of solving non-homogeneous differential equations. In both cases, we find the set of solutions that satisfy the homogeneous equation where the right side is 0, and then we find the particular solution that satisfies a specific non-zero right side.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/6906d6b8-b4d2-425c-9151-ad77784109a8/Screen+Shot+2024-02-08+at+12.57.34+PM.png</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/17bc5cfb-947d-4e36-b685-ea2ac0f3e5c7/Screen+Shot+2024-02-08+at+12.57.44+PM.png</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/eb9870e2-402e-4213-b9b2-5aeaa5eeee55/Screen+Shot+2024-02-08+at+12.57.57+PM.png</image:loc>
      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
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      <image:title>Krista King Math | Blog - How to solve Ax=b, given some specific vector b</image:title>
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  </url>
  <url>
    <loc>https://www.kristakingmath.com/blog/convolution-integrals-for-initial-value-problems</loc>
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    <priority>0.5</priority>
    <lastmod>2024-02-25</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/c2e49ce3-75b5-40ae-823c-0f58943d529e/Differential+Equations+blog+template.003.png</image:loc>
      <image:title>Krista King Math | Blog - Solving initial value problems with general forcing functions using a convolution integral</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - Solving initial value problems with general forcing functions using a convolution integral - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - Solving initial value problems with general forcing functions using a convolution integral</image:title>
    </image:image>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550464378472-H2A166PJ27LF62ZHNKNW/Differential+Equations+course.png</image:loc>
      <image:title>Krista King Math | Blog - Solving initial value problems with general forcing functions using a convolution integral</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1f1cde22-abdc-4db1-9e7e-94260c6702bf/KKMath-8social.jpg</image:loc>
      <image:title>Krista King Math | Blog - Solving initial value problems with general forcing functions using a convolution integral - We’ll solve for Y(s) by gathering all the Y(s) terms on the left, and moving all other terms to the right, then factoring out a Y(s).</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - Solving initial value problems with general forcing functions using a convolution integral</image:title>
    </image:image>
  </url>
  <url>
    <loc>https://www.kristakingmath.com/blog/phase-portraits-with-complex-eigenvalues</loc>
    <changefreq>monthly</changefreq>
    <priority>0.5</priority>
    <lastmod>2024-02-22</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/9e572b49-f081-454a-9fa3-56c0de5cdef9/Differential+Equations+blog+template.002.png</image:loc>
      <image:title>Krista King Math | Blog - Phase portraits for systems of differential equations with complex Eigenvalues</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - Phase portraits for systems of differential equations with complex Eigenvalues - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/fe8b7cf0-e281-4ea2-bdc8-db1495097519/Screen+Shot+2024-01-31+at+6.38.58+AM.png</image:loc>
      <image:title>Krista King Math | Blog - Phase portraits for systems of differential equations with complex Eigenvalues - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - All about the determinant of a matrix - Make it stand out</image:title>
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      <image:title>Krista King Math | Blog - All about the determinant of a matrix - Make it stand out</image:title>
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      <image:title>Krista King Math | Blog - Classifying differential equations by order, linearity, and homogeneity</image:title>
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      <image:title>Krista King Math | Blog - Classifying differential equations by order, linearity, and homogeneity - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - Classifying differential equations by order, linearity, and homogeneity</image:title>
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      <image:title>Krista King Math | Blog - Classifying differential equations by order, linearity, and homogeneity - In this differential equations course, we’ll be focusing primarily on first and second order differential equations. We’re starting with first order equations now, and we’ll get into second order equations later.</image:title>
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      <image:title>Krista King Math | Blog - Classifying differential equations by order, linearity, and homogeneity</image:title>
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      <image:title>Krista King Math | Blog - Solving differential equation initial value problems with step functions as forcing functions - Make sure the forcing function is being shifted correctly, and identify the function being shifted, then apply a Laplace transform to each part of the differential equation, substituting initial conditions to simplify.</image:title>
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      <image:title>Krista King Math | Blog - Solving differential equation initial value problems with step functions as forcing functions</image:title>
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    <lastmod>2022-06-09</lastmod>
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      <image:title>Krista King Math | Blog - Estimating definite integrals using power series</image:title>
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      <image:title>Krista King Math | Blog - Estimating definite integrals using power series</image:title>
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      <image:title>Krista King Math | Blog - Estimating definite integrals using power series</image:title>
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      <image:title>Krista King Math | Blog - Estimating definite integrals using power series - To evaluate over the interval, we’ll expand the power series through its first few terms, and then evaluate each term separately over the interval.</image:title>
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      <image:title>Krista King Math | Blog - Estimating definite integrals using power series</image:title>
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    <lastmod>2021-08-05</lastmod>
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      <image:title>Krista King Math | Blog - A span is always a subspace</image:title>
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      <image:title>Krista King Math | Blog - A span is always a subspace</image:title>
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      <image:title>Krista King Math | Blog - A span is always a subspace - Remember that the span of a vector set is all the linear combinations of that set. The span of any set of vectors is always a valid subspace.</image:title>
    </image:image>
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      <image:title>Krista King Math | Blog - A span is always a subspace</image:title>
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    <priority>0.5</priority>
    <lastmod>2021-08-05</lastmod>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1627749206163-HI47M8NP2HWYQNWGJ6G4/Linear+subspaces.jpeg</image:loc>
      <image:title>Krista King Math | Blog - Definition of a linear subspace, with several examples</image:title>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
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      <image:title>Krista King Math | Blog - Definition of a linear subspace, with several examples</image:title>
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      <image:title>Krista King Math | Blog - Definition of a linear subspace, with several examples</image:title>
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      <image:title>Krista King Math | Blog - Definition of a linear subspace, with several examples - Make it stand out</image:title>
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      <image:title>Krista King Math | Blog - Definition of a linear subspace, with several examples - Keep in mind that the first condition, that a subspace must include the zero vector, is logically already included as part of the second condition, that a subspace is closed under multiplication.</image:title>
    </image:image>
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      <image:title>Krista King Math | Blog - Definition of a linear subspace, with several examples</image:title>
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    <lastmod>2021-08-05</lastmod>
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      <image:title>Krista King Math | Blog - How to find unit vectors and basis vectors - Make it stand out</image:title>
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      <image:title>Krista King Math | Blog - How to find unit vectors and basis vectors - Realize that every vector v in space will have a corresponding unit vector. It’ll be the vector that points in exactly the same direction as v, but is only one unit long.</image:title>
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    <loc>https://www.kristakingmath.com/blog/inverse-hyperbolic-integrals</loc>
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      <image:title>Krista King Math | Blog - How to find the second derivative of a parametric curve</image:title>
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      <image:title>Krista King Math | Blog - How to find the second derivative of a parametric curve - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - How to find the second derivative of a parametric curve</image:title>
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      <image:title>Krista King Math | Blog - How to find the second derivative of a parametric curve</image:title>
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      <image:title>Krista King Math | Blog - How to find the second derivative of a parametric curve - The d/dt is notation that tells us to take the derivative of dy/dx with respect to t.</image:title>
    </image:image>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the second derivative of a parametric curve</image:title>
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    <priority>0.5</priority>
    <lastmod>2022-07-01</lastmod>
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      <image:title>Krista King Math | Blog - Finding the sum of two vectors</image:title>
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      <image:title>Krista King Math | Blog - Finding the sum of two vectors - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - Finding the sum of two vectors</image:title>
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      <image:title>Krista King Math | Blog - Finding the sum of two vectors - Essentially, combining two vectors gives us the same result as adding the vectors.</image:title>
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      <image:title>Krista King Math | Blog - Finding the sum of two vectors</image:title>
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    <lastmod>2022-07-01</lastmod>
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      <image:title>Krista King Math | Blog - Sketching parametric curves by plotting points</image:title>
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      <image:title>Krista King Math | Blog - Sketching parametric curves by plotting points - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - Sketching parametric curves by plotting points</image:title>
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      <image:title>Krista King Math | Blog - Sketching parametric curves by plotting points - Make it stand out</image:title>
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      <image:title>Krista King Math | Blog - Sketching parametric curves by plotting points - Let’s create a table of x- and y-values based on parameter values of t inside the given interval.</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1626194402571-M2RMAZXPU8QETMJRPS68/a+graph+of+the+parameter+tracing+the+curve+counter-clockwise</image:loc>
      <image:title>Krista King Math | Blog - Sketching parametric curves by plotting points - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Sketching parametric curves by plotting points</image:title>
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    <priority>0.5</priority>
    <lastmod>2022-07-01</lastmod>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555002100776-35BVPC77KXUCAOA4Z8R1/Direction+cosines+and+direction+angles+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - How to find the direction cosines and direction angles of a vector</image:title>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to find the direction cosines and direction angles of a vector - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - How to find the direction cosines and direction angles of a vector</image:title>
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      <image:title>Krista King Math | Blog - How to find the direction cosines and direction angles of a vector</image:title>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555006472397-AVMLOQCLYJLV9I52XN9U/Direction+cosines+and+direction+angles+for+Calculus+3.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to find the direction cosines and direction angles of a vector - Realize that the direction angles are found by taking arccos of both sides of the direction cosine formulas.</image:title>
    </image:image>
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      <image:title>Krista King Math | Blog - How to find the direction cosines and direction angles of a vector</image:title>
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    <priority>0.5</priority>
    <lastmod>2022-07-01</lastmod>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555246034468-7H8STFQ3X6HYMWUOT1RR/Tangent+line+to+the+parametric+curve+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - Finding the tangent line to a parametric curve</image:title>
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      <image:title>Krista King Math | Blog - Finding the tangent line to a parametric curve - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - Finding the tangent line to a parametric curve</image:title>
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      <image:title>Krista King Math | Blog - Finding the tangent line to a parametric curve</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555246488452-1HBCWW03PMSMLPMSD0JQ/Tangent+line+to+the+parametric+curve+for+Calculus+2.jpg</image:loc>
      <image:title>Krista King Math | Blog - Finding the tangent line to a parametric curve - Once we find the derivative of the parametric curve using this formula, we’ll plug the given point into the derivative to find the slope at that particular point.</image:title>
    </image:image>
    <image:image>
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      <image:title>Krista King Math | Blog - Finding the tangent line to a parametric curve</image:title>
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    <loc>https://www.kristakingmath.com/blog/scalar-and-vector-projections</loc>
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    <priority>0.5</priority>
    <lastmod>2022-07-01</lastmod>
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      <image:title>Krista King Math | Blog - How to find the scalar and vector projections of one vector onto another</image:title>
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      <image:title>Krista King Math | Blog - How to find the scalar and vector projections of one vector onto another - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - How to find the scalar and vector projections of one vector onto another</image:title>
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      <image:title>Krista King Math | Blog - How to find the scalar and vector projections of one vector onto another</image:title>
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      <image:title>Krista King Math | Blog - How to find the scalar and vector projections of one vector onto another - Since we use the value of the scalar projection in the formula for the vector projection, we’ll start by finding the scalar projection.</image:title>
    </image:image>
    <image:image>
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      <image:title>Krista King Math | Blog - How to find the scalar and vector projections of one vector onto another</image:title>
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  <url>
    <loc>https://www.kristakingmath.com/blog/area-under-parametric-curve</loc>
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    <priority>0.5</priority>
    <lastmod>2022-07-01</lastmod>
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      <image:title>Krista King Math | Blog - How to find area under a parametric curve - Instead, it’ll give us a function that represents the area under any part of the parametric curve.</image:title>
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      <image:title>Krista King Math | Blog - How to find area under a parametric curve</image:title>
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    <loc>https://www.kristakingmath.com/blog/cross-product-for-vectors</loc>
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    <lastmod>2026-11-07</lastmod>
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    <loc>https://www.kristakingmath.com/blog/area-of-one-loop-of-a-parametric-curve</loc>
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    <lastmod>2022-07-01</lastmod>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555252430785-GUI84FCGPWHAXXHRJME8/Area+under+one+arc+or+loop+of+a+parametric+curve+for+Calculus+2.jpg</image:loc>
      <image:title>Krista King Math | Blog - Area under one arc or loop of a parametric curve - Once the arc arrives back at the same starting point (x,y), you’ve closed one loop of the curve, and therefore you’ll use the limits of integration that correspond to those parameter values.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - Area under one arc or loop of a parametric curve</image:title>
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  <url>
    <loc>https://www.kristakingmath.com/blog/vector-orthogonal-to-the-plane</loc>
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    <priority>0.5</priority>
    <lastmod>2022-07-01</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555087880147-OCVPVITN3GYTVIKJWYIO/Vector+orthogonal+to+the+plane+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - Finding the vector orthogonal to the plane</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - Finding the vector orthogonal to the plane - Hi! I'm krista.</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - Finding the vector orthogonal to the plane</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550464236135-7577EF59FCX7CR1G5UA2/Calculus+3+course.png</image:loc>
      <image:title>Krista King Math | Blog - Finding the vector orthogonal to the plane</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555088804405-DAQOO6367L18APR9BZ3J/Vector+orthogonal+to+the+plane+for+Calculus+3.jpg</image:loc>
      <image:title>Krista King Math | Blog - Finding the vector orthogonal to the plane - Once we have our vectors, whether they were given or whether we calculated them using three points in the plane, we’ll take their cross product.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - Finding the vector orthogonal to the plane</image:title>
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  <url>
    <loc>https://www.kristakingmath.com/blog/arc-length-of-a-parametric-curve</loc>
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    <lastmod>2022-07-01</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555252883121-NPIU2Y8AQ3LIR3NBJVGB/Arc+length+of+a+parametric+curve+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - Finding arc length of a parametric curve</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - Finding arc length of a parametric curve - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - Finding arc length of a parametric curve</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550464031103-A2IQ07DGJUN95FGU04DN/Calculus+2+course.png</image:loc>
      <image:title>Krista King Math | Blog - Finding arc length of a parametric curve</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555253166904-7D6J8YOQ66G7S8XKEL8U/Arc+length+of+a+parametric+curve+for+Calculus+2.jpg</image:loc>
      <image:title>Krista King Math | Blog - Finding arc length of a parametric curve - Since we were given the limits of integration in the problem, we’re ready to plug everything into the arc length formula.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - Finding arc length of a parametric curve</image:title>
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    <loc>https://www.kristakingmath.com/blog/parallelepiped-volume-from-vectors</loc>
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    <lastmod>2022-07-01</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555088966197-AZ5PM5NV9HPCU0J93L0P/Volume+of+the+parallelepiped+from+vectors+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - Volume of the parallelepiped from vectors</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - Volume of the parallelepiped from vectors - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - Volume of the parallelepiped from vectors</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550464236135-7577EF59FCX7CR1G5UA2/Calculus+3+course.png</image:loc>
      <image:title>Krista King Math | Blog - Volume of the parallelepiped from vectors</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555089535835-5X0A5VY24U7Q5LG0GX0Y/Volume+of+the+parallelepiped+from+vectors+for+Calculus+3.jpg</image:loc>
      <image:title>Krista King Math | Blog - Volume of the parallelepiped from vectors - The final answer is the value of the scalar triple product, which is the volume of the parallelepiped.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - Volume of the parallelepiped from vectors</image:title>
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  <url>
    <loc>https://www.kristakingmath.com/blog/parametric-surface-area-of-revolution-horizontal-axis</loc>
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    <lastmod>2022-07-01</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555278222123-YWFL3ZX7KIYSQA60T08X/Surface+area+of+revolution+of+a+parametric+curve%2C+horizontal+axis+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - Surface area of revolution of a parametric curve, horizontal axis</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - Surface area of revolution of a parametric curve, horizontal axis - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - Surface area of revolution of a parametric curve, horizontal axis</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550464031103-A2IQ07DGJUN95FGU04DN/Calculus+2+course.png</image:loc>
      <image:title>Krista King Math | Blog - Surface area of revolution of a parametric curve, horizontal axis</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555278349057-22KRCC4JTCBUVIY7H7LQ/Surface+area+of+revolution+of+a+parametric+curve%2C+horizontal+axis+for+Calculus+2.jpg</image:loc>
      <image:title>Krista King Math | Blog - Surface area of revolution of a parametric curve, horizontal axis - We need to find both derivatives before we can plug into the formula.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - Surface area of revolution of a parametric curve, horizontal axis</image:title>
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    <loc>https://www.kristakingmath.com/blog/parallelepiped-volume-from-adjacent-edges</loc>
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    <priority>0.5</priority>
    <lastmod>2022-07-01</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555090158935-YGI6E5X5UGY7CFNDQJ9J/Volume+of+the+parallelepiped+from+adjacent+edges+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - How to find the volume of the parallelepiped from its adjacent edges</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to find the volume of the parallelepiped from its adjacent edges - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the volume of the parallelepiped from its adjacent edges</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550464236135-7577EF59FCX7CR1G5UA2/Calculus+3+course.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the volume of the parallelepiped from its adjacent edges</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555090320171-MCNNVLQUK4E8EZX8VDW2/Volume+of+the+parallelepiped+from+adjacent+edges+for+Calculus+3.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to find the volume of the parallelepiped from its adjacent edges - The final answer is the value of the scalar triple product, which is the volume of the parallelepiped.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the volume of the parallelepiped from its adjacent edges</image:title>
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  <url>
    <loc>https://www.kristakingmath.com/blog/volume-of-revolution-of-a-parametric-curve</loc>
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    <lastmod>2022-07-01</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555280105966-6SNT5KPO7441UAHDKS7A/Volume+of+revolution+of+a+parametric+curve+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - How to find the volume of revolution of a parametric curve</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to find the volume of revolution of a parametric curve - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the volume of revolution of a parametric curve</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550464031103-A2IQ07DGJUN95FGU04DN/Calculus+2+course.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the volume of revolution of a parametric curve</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1548087342107-A3FECYSVFXGUL7V20BKG/predator-prey+systems</image:loc>
      <image:title>Krista King Math | Blog - How to find the volume of revolution of a parametric curve - In the same way that we could find the volume of a three-dimensional object generated by rotating a two-dimensional area around an axis when we studied applications of integrals, we can find the volume of revolution generated by revolving the area enclosed by two parametric curves.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the volume of revolution of a parametric curve</image:title>
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  <url>
    <loc>https://www.kristakingmath.com/blog/scalar-triple-product-to-verify-coplanar-vectors</loc>
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    <priority>0.5</priority>
    <lastmod>2022-07-01</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555090815412-EXDQ7COVF7IQ4ACSG2AC/Scalar+triple+product+to+prove+vectors+are+coplanar+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - Using the scalar triple product to prove that vectors are coplanar</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - Using the scalar triple product to prove that vectors are coplanar - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - Using the scalar triple product to prove that vectors are coplanar</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550464236135-7577EF59FCX7CR1G5UA2/Calculus+3+course.png</image:loc>
      <image:title>Krista King Math | Blog - Using the scalar triple product to prove that vectors are coplanar</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555091188663-NBSIVHO8XV7JYXRAJ4HR/Scalar+triple+product+to+prove+vectors+are+coplanar+for+Calculus+3.jpg</image:loc>
      <image:title>Krista King Math | Blog - Using the scalar triple product to prove that vectors are coplanar - The final answer is the scalar triple product. If it’s equal to 0, then we’ve proven that the vectors are coplanar.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - Using the scalar triple product to prove that vectors are coplanar</image:title>
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  <url>
    <loc>https://www.kristakingmath.com/blog/domain-of-a-vector-function</loc>
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    <priority>0.5</priority>
    <lastmod>2022-07-01</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555091805150-7U81F6WWEZAIFWYZWOLR/Domain+of+a+vector+function.001.jpeg</image:loc>
      <image:title>Krista King Math | Blog - How to find the domain of a vector function</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to find the domain of a vector function - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the domain of a vector function</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550464236135-7577EF59FCX7CR1G5UA2/Calculus+3+course.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the domain of a vector function</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555092163769-I6MM9NXHLF2HW7AF5C0P/Domain+of+a+vector+function+for+Calculus+3.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to find the domain of a vector function - Then the domain of the vector function is the values for which the domains of a, b and c overlap.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the domain of a vector function</image:title>
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  <url>
    <loc>https://www.kristakingmath.com/blog/converting-polar-equations</loc>
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    <priority>0.5</priority>
    <lastmod>2022-07-02</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555281659022-TVYGDVR0Q2HBVK17X93Y/Converting+polar+equations+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - How to convert polar equations into rectangular equations</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to convert polar equations into rectangular equations - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
    </image:image>
    <image:image>
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      <image:title>Krista King Math | Blog - How to convert polar equations into rectangular equations</image:title>
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      <image:title>Krista King Math | Blog - How to convert polar equations into rectangular equations</image:title>
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      <image:title>Krista King Math | Blog - How to convert polar equations into rectangular equations - Once we’ve eliminated all r and theta variables, and replaced them with x and y variables, we’re done with the conversion.</image:title>
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    <image:image>
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      <image:title>Krista King Math | Blog - How to convert polar equations into rectangular equations</image:title>
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      <image:title>Krista King Math | Blog - How to find the limit of a vector function - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - How to find the limit of a vector function</image:title>
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      <image:title>Krista King Math | Blog - How to find the limit of a vector function - To find the limit of a vector function, we’ll need to take the limit of each term separately.</image:title>
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      <image:title>Krista King Math | Blog - Finding the area bounded by one loop of a polar curve</image:title>
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      <image:title>Krista King Math | Blog - Finding the area bounded by one loop of a polar curve - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - Finding the area bounded by one loop of a polar curve</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550464031103-A2IQ07DGJUN95FGU04DN/Calculus+2+course.png</image:loc>
      <image:title>Krista King Math | Blog - Finding the area bounded by one loop of a polar curve</image:title>
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      <image:title>Krista King Math | Blog - Finding the area bounded by one loop of a polar curve - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Finding the area bounded by one loop of a polar curve - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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    <image:image>
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      <image:title>Krista King Math | Blog - Finding the area bounded by one loop of a polar curve - When we need to find the area bounded by a single loop of the polar curve, we’ll use the same formula we used to find area inside the polar curve in general.</image:title>
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      <image:title>Krista King Math | Blog - Finding the area bounded by one loop of a polar curve</image:title>
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      <image:title>Krista King Math | Blog - Solving for measures of angles</image:title>
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      <image:title>Krista King Math | Blog - Solving for measures of angles - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625249589685-PKCRVFYEA7YJUGH6RQHM/measure+of+an+angle</image:loc>
      <image:title>Krista King Math | Blog - Solving for measures of angles - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Solving for measures of angles - Make it stand out</image:title>
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      <image:title>Krista King Math | Blog - Solving for measures of angles</image:title>
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      <image:title>Krista King Math | Blog - Solving for measures of angles</image:title>
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      <image:title>Krista King Math | Blog - Solving for measures of angles - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550897644428-NGQ6GRWUXKX52BT8F12Y/Measures+of+angles+for+Geometry</image:loc>
      <image:title>Krista King Math | Blog - Solving for measures of angles - An angle is a fraction of a circle, the turn of the angle is measured in degrees (or radians).</image:title>
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      <image:title>Krista King Math | Blog - Solving for measures of angles - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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    <lastmod>2022-07-02</lastmod>
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      <image:title>Krista King Math | Blog - How to find the derivative of a vector function - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - How to find the derivative of a vector function</image:title>
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      <image:title>Krista King Math | Blog - How to find the derivative of a vector function</image:title>
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      <image:title>Krista King Math | Blog - How to find the derivative of a vector function - Alternately, we can just take the derivatives of each direction number, leaving the function in its original form.</image:title>
    </image:image>
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      <image:title>Krista King Math | Blog - How to find the derivative of a vector function</image:title>
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    <lastmod>2022-07-02</lastmod>
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      <image:title>Krista King Math | Blog - How to find the area inside a polar curve</image:title>
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      <image:title>Krista King Math | Blog - How to find the area inside a polar curve - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - How to find the area inside a polar curve</image:title>
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      <image:title>Krista King Math | Blog - How to find the area inside a polar curve - We need to find the interval, which we’ll do by setting r=0 and solving for any values of theta.</image:title>
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      <image:title>Krista King Math | Blog - How to find the area inside a polar curve</image:title>
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      <image:title>Krista King Math | Blog - How to solve algebra problems about sales commission - Commission is the amount of money a salesperson earns on the sale of an item.</image:title>
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      <image:title>Krista King Math | Blog - How to solve algebra problems about sales commission</image:title>
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    <lastmod>2022-07-02</lastmod>
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      <image:title>Krista King Math | Blog - Tangent lines of circles - Hi! I'm krista.</image:title>
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      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Tangent lines of circles - The radius drawn from the center of the circle to the point of tangency is always perpendicular to the tangent line.</image:title>
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      <image:title>Krista King Math | Blog - Tangent lines of circles - Make it stand out</image:title>
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      <image:title>Krista King Math | Blog - Tangent lines of circles</image:title>
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    <lastmod>2022-07-02</lastmod>
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      <image:title>Krista King Math | Blog - How to find the integral of a vector function</image:title>
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      <image:title>Krista King Math | Blog - How to find the integral of a vector function - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - How to find the integral of a vector function</image:title>
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      <image:title>Krista King Math | Blog - How to find the integral of a vector function</image:title>
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      <image:title>Krista King Math | Blog - How to find the integral of a vector function - To find the integral of a vector function, we simply replace each coefficient with its integral.</image:title>
    </image:image>
    <image:image>
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      <image:title>Krista King Math | Blog - How to find the integral of a vector function</image:title>
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      <image:title>Krista King Math | Blog - Solving algebra problems about markup - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - Solving algebra problems about markup</image:title>
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      <image:title>Krista King Math | Blog - Solving algebra problems about markup - “Original Price” is what the store paid the manufacturer for the item. This is sometimes called the “Manufacturer’s Price” or the “Original Purchase Price”.</image:title>
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      <image:title>Krista King Math | Blog - Solving algebra problems about markup</image:title>
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      <image:title>Krista King Math | Blog - Nets, volume, and surface area for circular cones</image:title>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - Nets, volume, and surface area for circular cones - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625243885663-TMJTXU0NA67L8EH8KK2B/cone+with+a+circular+base</image:loc>
      <image:title>Krista King Math | Blog - Nets, volume, and surface area for circular cones - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625243947207-ITSXZGBR7W2F7YYGHZ24/net+of+a+circular+cone</image:loc>
      <image:title>Krista King Math | Blog - Nets, volume, and surface area for circular cones - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625243999990-ZVCKEPF98121IJ9FWLAU/parts+of+a+circular+cone</image:loc>
      <image:title>Krista King Math | Blog - Nets, volume, and surface area for circular cones - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625244147420-I7DF0ZPT8Z2MAD1K81SU/surface+area+of+a+circular+cone</image:loc>
      <image:title>Krista King Math | Blog - Nets, volume, and surface area for circular cones - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - Nets, volume, and surface area for circular cones</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550461936085-2WR4T0NZ5B38ZC25GMND/Geometry+course.png</image:loc>
      <image:title>Krista King Math | Blog - Nets, volume, and surface area for circular cones</image:title>
    </image:image>
    <image:image>
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      <image:title>Krista King Math | Blog - Nets, volume, and surface area for circular cones - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1553636936132-R73XQ80A2K3PUZHI4H9W/Nets%2Fvolume%2Fsurface+area+of+cones+for+Geometry.jpg</image:loc>
      <image:title>Krista King Math | Blog - Nets, volume, and surface area for circular cones - The net of a cone is a full circle for the base, and the a part of another circle for the wall of the cone.</image:title>
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    <image:image>
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      <image:title>Krista King Math | Blog - Nets, volume, and surface area for circular cones - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
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      <image:title>Krista King Math | Blog - Nets, volume, and surface area for circular cones</image:title>
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    <loc>https://www.kristakingmath.com/blog/arc-length-of-a-vector-function</loc>
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    <priority>0.5</priority>
    <lastmod>2021-07-12</lastmod>
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      <image:title>Krista King Math | Blog - How to calculate the arc length of a vector function</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to calculate the arc length of a vector function - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - How to calculate the arc length of a vector function</image:title>
    </image:image>
    <image:image>
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      <image:title>Krista King Math | Blog - How to calculate the arc length of a vector function</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555106263154-ZZDJJAQ8DJ3AZFZI8EDN/Arc+length+of+a+vector+function+for+Calculus+3.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to calculate the arc length of a vector function - To solve for arc length, we’ll need the parametric equations of the vector function.</image:title>
    </image:image>
    <image:image>
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      <image:title>Krista King Math | Blog - How to calculate the arc length of a vector function</image:title>
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    <loc>https://www.kristakingmath.com/blog/surface-area-of-revolution-of-a-polar-curve</loc>
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    <priority>0.5</priority>
    <lastmod>2021-07-11</lastmod>
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      <image:title>Krista King Math | Blog - How to find the surface area of revolution of a polar curve</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to find the surface area of revolution of a polar curve - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - How to find the surface area of revolution of a polar curve - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - How to find the surface area of revolution of a polar curve</image:title>
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      <image:title>Krista King Math | Blog - How to find the surface area of revolution of a polar curve</image:title>
    </image:image>
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      <image:title>Krista King Math | Blog - How to find the surface area of revolution of a polar curve - We can find the surface area of the object created when we rotate a polar curve around either the x-axis or the y-axis</image:title>
    </image:image>
    <image:image>
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      <image:title>Krista King Math | Blog - How to find the surface area of revolution of a polar curve</image:title>
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    <loc>https://www.kristakingmath.com/blog/conjugate-method-to-rationalize-the-denominator</loc>
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    <priority>0.5</priority>
    <lastmod>2021-07-09</lastmod>
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      <image:title>Krista King Math | Blog - How to use the conjugate method to rationalize the denominator</image:title>
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      <image:title>Krista King Math | Blog - How to use the conjugate method to rationalize the denominator - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - How to use the conjugate method to rationalize the denominator</image:title>
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      <image:title>Krista King Math | Blog - How to use the conjugate method to rationalize the denominator</image:title>
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      <image:title>Krista King Math | Blog - How to use the conjugate method to rationalize the denominator - Remember that the phrase “rationalize the denominator” just means “get the square root(s) out of the denominator”.</image:title>
    </image:image>
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      <image:title>Krista King Math | Blog - How to use the conjugate method to rationalize the denominator</image:title>
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  <url>
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    <lastmod>2021-07-08</lastmod>
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      <image:title>Krista King Math | Blog - Triangle congruence with AAS, HL</image:title>
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      <image:title>Krista King Math | Blog - Triangle congruence with AAS, HL - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - Triangle congruence with AAS, HL - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Triangle congruence with AAS, HL - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Triangle congruence with AAS, HL</image:title>
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      <image:title>Krista King Math | Blog - Triangle congruence with AAS, HL</image:title>
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      <image:title>Krista King Math | Blog - Triangle congruence with AAS, HL - Make it stand out</image:title>
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      <image:title>Krista King Math | Blog - Triangle congruence with AAS, HL - Whenever you state that two triangles are congruent, you must match the corresponding parts when you name the triangles. The letters will not always be in alphabetical order.</image:title>
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      <image:title>Krista King Math | Blog - Triangle congruence with AAS, HL - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Triangle congruence with AAS, HL - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Triangle congruence with AAS, HL</image:title>
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      <image:title>Krista King Math | Blog - How to find the unit tangent vector</image:title>
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      <image:title>Krista King Math | Blog - Finding the limit of a convergent sequence</image:title>
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      <image:title>Krista King Math | Blog - Finding the limit of a convergent sequence - The way that we simplify and evaluate the limit will depend on the kind of functions we have in our sequence (trigonometric, exponential, etc.), but we know that the limit as n approaches infinity exists.</image:title>
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      <image:title>Krista King Math | Blog - Finding the limit of a convergent sequence</image:title>
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      <image:title>Krista King Math | Blog - Negative exponents and power rule for exponents - in order to change the exponent in b^(-a) from -a to positive a, you move the entire value from the denominator to the numerator to get 1b^a, which is the same as b^a.</image:title>
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      <image:title>Krista King Math | Blog - Negative exponents and power rule for exponents</image:title>
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      <image:title>Krista King Math | Blog - Congruent parts of congruent triangles are congruent (CPCTC)</image:title>
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      <image:title>Krista King Math | Blog - Congruent parts of congruent triangles are congruent (CPCTC) - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - Congruent parts of congruent triangles are congruent (CPCTC) - Make it stand out</image:title>
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      <image:title>Krista King Math | Blog - Congruent parts of congruent triangles are congruent (CPCTC) - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Congruent parts of congruent triangles are congruent (CPCTC) - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Congruent parts of congruent triangles are congruent (CPCTC)</image:title>
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      <image:title>Krista King Math | Blog - Congruent parts of congruent triangles are congruent (CPCTC)</image:title>
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      <image:title>Krista King Math | Blog - Congruent parts of congruent triangles are congruent (CPCTC) - Make it stand out</image:title>
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      <image:title>Krista King Math | Blog - Congruent parts of congruent triangles are congruent (CPCTC) - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Congruent parts of congruent triangles are congruent (CPCTC) - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Congruent parts of congruent triangles are congruent (CPCTC) - CPCTC flips this around, and makes the point that, given two congruent triangles, corresponding parts of those triangles must also be congruent.</image:title>
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      <image:title>Krista King Math | Blog - Congruent parts of congruent triangles are congruent (CPCTC) - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Congruent parts of congruent triangles are congruent (CPCTC) - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Congruent parts of congruent triangles are congruent (CPCTC)</image:title>
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      <image:title>Krista King Math | Blog - How to find maximum curvature for a vector function at a particular point - If there’s more than one value for t, we’ll use the second derivative test to determine which one represents maximum curvature.</image:title>
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    <lastmod>2021-07-11</lastmod>
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    <lastmod>2021-07-09</lastmod>
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      <image:title>Krista King Math | Blog - How to find the center and radius of a circle from its equation - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - How to find the center and radius of a circle from its equation</image:title>
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      <image:title>Krista King Math | Blog - How to find the center and radius of a circle from its equation - Sometimes in order to write the equation of a circle in standard form, you’ll need to complete the square twice, once for x and once for y.</image:title>
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      <image:title>Krista King Math | Blog - How to simplify symbols of inclusion (grouping symbols) like parentheses, brackets, etc.</image:title>
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      <image:title>Krista King Math | Blog - How to simplify symbols of inclusion (grouping symbols) like parentheses, brackets, etc. - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - How to find the sum of a sequence of partial sums - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - Finding the distance between two points - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - Finding the distance between two points - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Finding the distance between two points - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Finding the distance between two points - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Finding the distance between two points - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - How to use the distributive property with fractions - It’s the same thing with fractions, just remember to multiply the outside numerator (top) with the numerators of the terms inside parentheses and the outside denominator (bottom) with the denominators of the inside terms.</image:title>
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      <image:title>Krista King Math | Blog - How to solve equation modeling Algebra problems</image:title>
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      <image:title>Krista King Math | Blog - How to solve equation modeling Algebra problems - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - How to solve equation modeling Algebra problems - Make it stand out</image:title>
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      <image:title>Krista King Math | Blog - How to solve equation modeling Algebra problems - Make it stand out</image:title>
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      <image:title>Krista King Math | Blog - How to solve equation modeling Algebra problems - we’ll look at how to take a description of an equation in words and transform it into a written equation by using a table.</image:title>
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      <image:title>Krista King Math | Blog - How to solve equation modeling Algebra problems</image:title>
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      <image:title>Krista King Math | Blog - How to use the distributive property from algebra - To distribute, multiply the term outside of the parentheses by each term inside the parentheses.</image:title>
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      <image:title>Krista King Math | Blog - How to use the distributive property from algebra</image:title>
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      <image:title>Krista King Math | Blog - Conditionals and Euler diagrams - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - Conditionals and Euler diagrams</image:title>
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      <image:title>Krista King Math | Blog - Conditionals and Euler diagrams</image:title>
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      <image:title>Krista King Math | Blog - Conditionals and Euler diagrams - A conditional statement is an if/then statement where the “if” part is the hypothesis and comes first, and the “then” part is the conclusion and comes second.</image:title>
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      <image:title>Krista King Math | Blog - Conditionals and Euler diagrams - Make it stand out</image:title>
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      <image:title>Krista King Math | Blog - Conditionals and Euler diagrams - Make it stand out</image:title>
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      <image:title>Krista King Math | Blog - Conditionals and Euler diagrams</image:title>
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    <lastmod>2021-07-12</lastmod>
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      <image:title>Krista King Math | Blog - How to find the potential function of a conservative vector field</image:title>
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      <image:title>Krista King Math | Blog - How to find the potential function of a conservative vector field</image:title>
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    <lastmod>2021-07-10</lastmod>
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      <image:title>Krista King Math | Blog - Using the p-series test to determine convergence</image:title>
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      <image:title>Krista King Math | Blog - Using the p-series test to determine convergence</image:title>
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      <image:title>Krista King Math | Blog - Using the p-series test to determine convergence - The key is to make sure that the given series matches the format above for a p-series, and then to look at the value of p to determine convergence.</image:title>
    </image:image>
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      <image:title>Krista King Math | Blog - Using the p-series test to determine convergence</image:title>
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    <lastmod>2024-02-06</lastmod>
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      <image:title>Krista King Math | Blog - Solving limits with conjugate method</image:title>
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      <image:title>Krista King Math | Blog - Solving limits with conjugate method</image:title>
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      <image:title>Krista King Math | Blog - Solving limits with conjugate method - Notice that we multiply both the numerator and denominator by the conjugate, because that’s like multiplying by 1, which is useful to us but still doesn’t change the value of the original function.</image:title>
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      <image:title>Krista King Math | Blog - Solving limits with conjugate method</image:title>
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      <image:title>Krista King Math | Blog - One-to-one functions and the horizontal line test - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - One-to-one functions and the horizontal line test - On the other hand, quadratic functions are never one-to-one.</image:title>
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      <image:title>Krista King Math | Blog - Functional notation and evaluating functions</image:title>
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      <image:title>Krista King Math | Blog - Functional notation and evaluating functions - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - Functional notation and evaluating functions</image:title>
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      <image:title>Krista King Math | Blog - Functional notation and evaluating functions</image:title>
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      <image:title>Krista King Math | Blog - Adding and subtracting signed numbers - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - Writing converses of conditionals - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - Writing converses of conditionals</image:title>
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    <image:image>
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      <image:title>Krista King Math | Blog - Writing converses of conditionals</image:title>
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      <image:title>Krista King Math | Blog - Writing converses of conditionals - Notice that the converse of a conditional statement is itself a conditional statement.</image:title>
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      <image:title>Krista King Math | Blog - Writing converses of conditionals - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Determining whether or not a line integral is independent of path - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - How to use the nth term test for divergence</image:title>
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      <image:title>Krista King Math | Blog - Using Green's Theorem to evaluate a line integral in two regions</image:title>
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      <image:title>Krista King Math | Blog - Using Green's Theorem to evaluate a line integral in two regions - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - Using Green's Theorem to evaluate a line integral in two regions</image:title>
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      <image:title>Krista King Math | Blog - Finding the inverse of a function - When you have a function with points (x, f(x)), the inverse function will have points (f(x), x).</image:title>
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      <image:title>Krista King Math | Blog - The Cartesian coordinate system, and graphing points</image:title>
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      <image:title>Krista King Math | Blog - The Cartesian coordinate system, and graphing points - Hi! I'm krista.</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625936391630-1LVTHHO4G1L5X82SXJIR/graph+of+the+location+of+the+point+%282%2C5%29</image:loc>
      <image:title>Krista King Math | Blog - The Cartesian coordinate system, and graphing points - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1553002707820-4YZT7V7MC16W1B27AVC9/Cartesian+coordinate+system+for+Algebra+1.jpg</image:loc>
      <image:title>Krista King Math | Blog - The Cartesian coordinate system, and graphing points - We “graph a point” in the plane by placing a dot at its location in the Cartesian coordinate system.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625936436646-WL5KANQ8CVRZ4NVRKF30/graph+of+the+location+of+the+point+%281%2C-7%29</image:loc>
      <image:title>Krista King Math | Blog - The Cartesian coordinate system, and graphing points - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - The Cartesian coordinate system, and graphing points</image:title>
    </image:image>
  </url>
  <url>
    <loc>https://www.kristakingmath.com/blog/ratio-test-for-convergence</loc>
    <changefreq>monthly</changefreq>
    <priority>0.5</priority>
    <lastmod>2021-07-10</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555347743855-PRDT5VE80K3D8BTUWKSY/Ratio+test+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - Using the ratio test to determine whether or not a series converges</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - Using the ratio test to determine whether or not a series converges - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - Using the ratio test to determine whether or not a series converges</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550464031103-A2IQ07DGJUN95FGU04DN/Calculus+2+course.png</image:loc>
      <image:title>Krista King Math | Blog - Using the ratio test to determine whether or not a series converges</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555347838662-HALVPJXMI0BCO8BVA0NM/Ratio+test+for+Calculus+2.jpg</image:loc>
      <image:title>Krista King Math | Blog - Using the ratio test to determine whether or not a series converges - The ratio test is used most often when our series includes a factorial or something raised to the nth power.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - Using the ratio test to determine whether or not a series converges</image:title>
    </image:image>
  </url>
  <url>
    <loc>https://www.kristakingmath.com/blog/acute-angle-between-two-vectors</loc>
    <changefreq>monthly</changefreq>
    <priority>0.5</priority>
    <lastmod>2021-07-30</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555001439598-5RRXZV0205AM7940WP7V/Acute+angle+between+the+lines+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - Finding the acute angle between two lines (or between two vectors)</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1627676434645-V3DAUL6PEJ0IR8EUF5X4/picture+of+an+acute+angle</image:loc>
      <image:title>Krista King Math | Blog - Finding the acute angle between two lines (or between two vectors) - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - Finding the acute angle between two lines (or between two vectors) - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - Finding the acute angle between two lines (or between two vectors)</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550464236135-7577EF59FCX7CR1G5UA2/Calculus+3+course.png</image:loc>
      <image:title>Krista King Math | Blog - Finding the acute angle between two lines (or between two vectors)</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1555001752013-NXM9DLJQDF97628R9TEX/Acute+angle+between+the+lines+for+Calculus+3.jpg</image:loc>
      <image:title>Krista King Math | Blog - Finding the acute angle between two lines (or between two vectors) - If we want to find the acute angle between two lines, we can convert the lines to standard vector form.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - Finding the acute angle between two lines (or between two vectors)</image:title>
    </image:image>
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  <url>
    <loc>https://www.kristakingmath.com/blog/rotating-figures-in-coordinate-space</loc>
    <changefreq>monthly</changefreq>
    <priority>0.5</priority>
    <lastmod>2021-07-08</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1554304423284-BL384J3AAGELNXRMAHKH/Rotating+figures+in+coordinate+space+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - How to rotate figures in coordinate space around a given rotation point</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to rotate figures in coordinate space around a given rotation point - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625168042536-4FAWH2O10WP6GAAIM5J5/pre-image+and+image+of+the+rotation</image:loc>
      <image:title>Krista King Math | Blog - How to rotate figures in coordinate space around a given rotation point - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625168137987-XOC2Q548RNBDNNUNRMWI/change+in+coordinates+after+rotations</image:loc>
      <image:title>Krista King Math | Blog - How to rotate figures in coordinate space around a given rotation point - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - How to rotate figures in coordinate space around a given rotation point</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550461936085-2WR4T0NZ5B38ZC25GMND/Geometry+course.png</image:loc>
      <image:title>Krista King Math | Blog - How to rotate figures in coordinate space around a given rotation point</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625168204088-XPTFEDRDENCPOTVWKRL0/rotating+around+the+origin</image:loc>
      <image:title>Krista King Math | Blog - How to rotate figures in coordinate space around a given rotation point - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625168265735-0EWC1SWH2WET7V28DSIM/180%C2%BAclockwise+rotation</image:loc>
      <image:title>Krista King Math | Blog - How to rotate figures in coordinate space around a given rotation point - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1554305228882-0RVF7E5F6WOZPTFB6X6D/Rotating+figures+in+coordinate+space+for+Geometry.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to rotate figures in coordinate space around a given rotation point - If the problem does not give you a direction, then a positive degree measure means a counter-clockwise rotation and a negative degree measure means a clockwise rotation.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625168331705-NYGUQV38XL48VDCMMEB0/rotating+a+point+270%C2%BA+clockwise</image:loc>
      <image:title>Krista King Math | Blog - How to rotate figures in coordinate space around a given rotation point - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625168395022-P7YAWGKDUBL13MRZBHRZ/270%C2%BA+clockwise+rotation</image:loc>
      <image:title>Krista King Math | Blog - How to rotate figures in coordinate space around a given rotation point - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625168423207-ZF4NVYYBG0JSMZOS0QA7/visualizing+the+clockwise+rotation</image:loc>
      <image:title>Krista King Math | Blog - How to rotate figures in coordinate space around a given rotation point - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - How to rotate figures in coordinate space around a given rotation point</image:title>
    </image:image>
  </url>
  <url>
    <loc>https://www.kristakingmath.com/blog/domain-and-range-of-a-function</loc>
    <changefreq>monthly</changefreq>
    <priority>0.5</priority>
    <lastmod>2021-07-10</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1552326372114-R55ZE5RQJKD6J2J4Q5E6/Domain+and+range+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - How to find the domain and range of a function</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to find the domain and range of a function - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the domain and range of a function</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550461262586-DKJS2CKXS2QQV5L0WO40/Algebra+1+course.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the domain and range of a function</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1552326525732-1VMRVVB5PQVQ67ACRP9P/Domain+and+range+for+Algebra+1.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to find the domain and range of a function - In other words, the domain is all x-values or inputs of a function, and the range is all y-values or outputs of a function.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the domain and range of a function</image:title>
    </image:image>
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  <url>
    <loc>https://www.kristakingmath.com/blog/parallel-and-perpendicular-lines</loc>
    <changefreq>monthly</changefreq>
    <priority>0.5</priority>
    <lastmod>2021-07-02</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1553608248009-UMQCU8CS9H238TRQX5VB/Graphing+parallel+and+perpendicular+lines+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - How to find and graph parallel and perpendicular lines</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to find and graph parallel and perpendicular lines - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625258619693-JBN2B2244M2YDUX466WR/pairs+of+parallel+lines</image:loc>
      <image:title>Krista King Math | Blog - How to find and graph parallel and perpendicular lines - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625258696672-SQ4Y0TVZZN1NMJ99Y3W5/pairs+of+perpendicular+lines</image:loc>
      <image:title>Krista King Math | Blog - How to find and graph parallel and perpendicular lines - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - How to find and graph parallel and perpendicular lines</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550462815039-CQ3VQXAC95OSMP58U8ZY/Algebra+2+course.png</image:loc>
      <image:title>Krista King Math | Blog - How to find and graph parallel and perpendicular lines</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1553608576228-K78YXJIP1VRCZ46VQ7K0/Graphing+parallel+for+Algebra+2.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to find and graph parallel and perpendicular lines - For two lines to be parallel, their slopes must be equal but the Y-intercepts must be different (otherwise they are the same line).</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625258799200-KGLPYXR1WBSOH3BWT7HG/single+line</image:loc>
      <image:title>Krista King Math | Blog - How to find and graph parallel and perpendicular lines - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1625258832816-QULMUYUBOR2W8F1GTYET/pair+of+parallel+lines</image:loc>
      <image:title>Krista King Math | Blog - How to find and graph parallel and perpendicular lines - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - How to find and graph parallel and perpendicular lines</image:title>
    </image:image>
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  <url>
    <loc>https://www.kristakingmath.com/blog/marginal-cost-revenue-profit</loc>
    <changefreq>monthly</changefreq>
    <priority>0.5</priority>
    <lastmod>2021-07-10</lastmod>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1552154306492-0944JSSV2L4CMJP7X167/Marginal+cost%2C+revenue%2C+and+profit+blog+post.jpeg</image:loc>
      <image:title>Krista King Math | Blog - How to find the marginal cost, marginal revenue, and marginal profit functions</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to find the marginal cost, marginal revenue, and marginal profit functions - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the marginal cost, marginal revenue, and marginal profit functions</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1550463852094-HAKPVN93HTJW7NSMDZOK/Calculus+1+course.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the marginal cost, marginal revenue, and marginal profit functions</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1552154631380-L5Q8AWJ3A6JOELTSAN3S/Marginal+cost+revenue+and+profit+for+Calculus+1.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to find the marginal cost, marginal revenue, and marginal profit functions - Because these marginal functions are derivative functions, they model the slope of the original function, or the change per unit.</image:title>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531243413505-L2JSZEAV47A16TR6BS72/Krista+King.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the marginal cost, marginal revenue, and marginal profit functions</image:title>
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  <url>
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      <image:title>Krista King Math | Blog - How to determine whether a number is a prime or composite number - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - Histograms and stem-and-leaf plots - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - Histograms and stem-and-leaf plots - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Histograms and stem-and-leaf plots - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Histograms and stem-and-leaf plots - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - Histograms and stem-and-leaf plots - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - How to find the solution to an exact differential equation - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - Using the gradient vector to find the tangent plane equation - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - Using the gradient vector to find the tangent plane equation - Remember that the gradient vector and the equation of the tangent plane are not limited to two variable functions.</image:title>
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      <image:title>Krista King Math | Blog - How to find the arc length of a polar curve - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - How to find the arc length of a polar curve</image:title>
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      <image:title>Krista King Math | Blog - How to find the arc length of a polar curve - The arc length of a polar curve is simply the length of a section of a polar parametric curve between two points a and b.</image:title>
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      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - Divisibility rules for the numbers 2 through 10 (Is a number divisible by 2? By 3? By 4? etc.)</image:title>
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      <image:title>Krista King Math | Blog - Divisibility rules for the numbers 2 through 10 (Is a number divisible by 2? By 3? By 4? etc.)</image:title>
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      <image:title>Krista King Math | Blog - How to find the acute angle between the curves - Make it stand out</image:title>
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      <image:title>Krista King Math | Blog - How to find the acute angle between the curves - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - How to find the acute angle between the curves</image:title>
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      <image:title>Krista King Math | Blog - How to find the acute angle between the curves - If we want to find the acute angle between two curves, we’ll find the tangent lines to both curves at their point(s) of intersection, convert the tangent lines to standard vector form before applying our acute angle formula.</image:title>
    </image:image>
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      <image:title>Krista King Math | Blog - How to find the acute angle between the curves</image:title>
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    <lastmod>2021-07-10</lastmod>
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      <image:title>Krista King Math | Blog - How to use PEMDAS and order of operations - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - How to use PEMDAS and order of operations - The order of operations are extremely important when computer programming and entering equations in your calculator (one misplaced set of parentheses can result in a very different answer).</image:title>
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      <image:title>Krista King Math | Blog - Using trichotomy to solve inequalities - Hi! I'm krista.</image:title>
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      <image:title>Krista King Math | Blog - Using the addition rule, and union vs. intersection - This idea of making sure that we don’t double-count the overlap is called the addition rule (or sum rule) for probability.</image:title>
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    <image:image>
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      <image:title>Krista King Math | Blog - How to find the slope of a line</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to find the slope of a line - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the slope of a line</image:title>
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      <image:title>Krista King Math | Blog - How to find the slope of a line</image:title>
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      <image:title>Krista King Math | Blog - How to find the slope of a line</image:title>
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      <image:title>Krista King Math | Blog - How to find the slope of a line</image:title>
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      <image:title>Krista King Math | Blog - How to find the slope of a line - it doesn’t matter which pair of points (on the line) you use to find the slope. The slope will always be the same.</image:title>
    </image:image>
    <image:image>
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      <image:title>Krista King Math | Blog - How to find the slope of a line</image:title>
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      <image:title>Krista King Math | Blog - How to divide scientific notation</image:title>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - How to divide scientific notation - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - How to divide scientific notation</image:title>
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      <image:title>Krista King Math | Blog - How to divide scientific notation</image:title>
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      <image:title>Krista King Math | Blog - How to divide scientific notation - Divide their powers of 10. By the rules of exponents, we subtract the exponents when we do this.</image:title>
    </image:image>
    <image:image>
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      <image:title>Krista King Math | Blog - How to divide scientific notation</image:title>
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      <image:title>Krista King Math | Blog - How to solve equations that include decimal numbers</image:title>
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      <image:title>Krista King Math | Blog - How to solve equations that include decimal numbers - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
    </image:image>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - How to solve equations that include decimal numbers</image:title>
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      <image:title>Krista King Math | Blog - How to solve equations that include decimal numbers</image:title>
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      <image:title>Krista King Math | Blog - How to solve equations that include decimal numbers - In order to solve an equation involving decimals, the first thing we’ll try to do is get rid of the decimals by changing them to whole numbers.</image:title>
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      <image:title>Krista King Math | Blog - How to solve equations that include decimal numbers</image:title>
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      <image:title>Krista King Math | Blog - Arranging conditionals in a logical chain - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - Arranging conditionals in a logical chain</image:title>
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      <image:title>Krista King Math | Blog - Arranging conditionals in a logical chain</image:title>
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      <image:title>Krista King Math | Blog - Arranging conditionals in a logical chain - given a logic chain of conditionals, you can form the logical conclusion by using the hypothesis of the first conditional as its hypothesis, and the conclusion of the last conditional as its conclusion.</image:title>
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      <image:title>Krista King Math | Blog - Arranging conditionals in a logical chain</image:title>
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      <image:title>Krista King Math | Blog - Green's theorem for one region - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1603386579776-6OCOSA9YN7OYTR6VTSWF/Krista+King+Math+Signup.png</image:loc>
      <image:title>Krista King Math | Blog - Green's theorem for one region</image:title>
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      <image:title>Krista King Math | Blog - Green's theorem for one region</image:title>
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      <image:title>Krista King Math | Blog - Green's theorem for one region - If we choose to use Green’s theorem and change the line integral to a double integral, we’ll need to find limits of integration for both x and y so that we can evaluate the double integral as an iterated integral.</image:title>
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      <image:title>Krista King Math | Blog - Green's theorem for one region</image:title>
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      <image:title>Krista King Math | Blog - Using division to find the power series representation</image:title>
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      <image:title>Krista King Math | Blog - Using division to find the power series representation - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - Using division to find the power series representation</image:title>
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      <image:title>Krista King Math | Blog - Using division to find the power series representation</image:title>
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      <image:title>Krista King Math | Blog - Using division to find the power series representation - Once we have polynomial expressions for both the numerator and denominator, we’ll do polynomial long division until we have the number of non-zero terms we’ve been asked for.</image:title>
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      <image:title>Krista King Math | Blog - Using division to find the power series representation</image:title>
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      <image:title>Krista King Math | Blog - Using division to find the power series representation</image:title>
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    <lastmod>2021-08-16</lastmod>
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      <image:title>Krista King Math | Blog - How to find the dimensionality, nullity, and rank of a vector space</image:title>
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      <image:title>Krista King Math | Blog - How to find the dimensionality, nullity, and rank of a vector space - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - How to find the dimensionality, nullity, and rank of a vector space</image:title>
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      <image:title>Krista King Math | Blog - How to find the dimensionality, nullity, and rank of a vector space</image:title>
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      <image:title>Krista King Math | Blog - How to find the dimensionality, nullity, and rank of a vector space - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1629143532567-VM9S8OK1FXKRKBH4C8XY/Screen+Shot+2021-08-16+at+3.50.19+PM.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the dimensionality, nullity, and rank of a vector space - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1629143569343-6F9ZV2CM3C67XN94HFRD/Screen+Shot+2021-08-16+at+3.50.45+PM.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the dimensionality, nullity, and rank of a vector space - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
    </image:image>
    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1629143606583-UHS9M7Z00EHM2BGTHYJ0/Screen+Shot+2021-08-16+at+3.51.06+PM.png</image:loc>
      <image:title>Krista King Math | Blog - How to find the dimensionality, nullity, and rank of a vector space - Make it stand out</image:title>
      <image:caption>Whatever it is, the way you tell your story online can make all the difference.</image:caption>
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      <image:title>Krista King Math | Blog - How to find the dimensionality, nullity, and rank of a vector space - The reason that we can get the nullity from the free variables is because every free variable in the matrix is associated with one linearly independent vector in the null space.</image:title>
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    <image:image>
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  <url>
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    <lastmod>2021-04-07</lastmod>
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      <image:title>Krista King Math | Blog - "At least" and "at most," and mean, variance, and standard deviation</image:title>
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    <image:image>
      <image:loc>https://images.squarespace-cdn.com/content/v1/533db07de4b0d9f7ba7f1e77/1531240577906-UIAUA4KAUI0TW2GDQK0M/Krista+King+Math.jpg</image:loc>
      <image:title>Krista King Math | Blog - "At least" and "at most," and mean, variance, and standard deviation - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - How to simplify fractions by cancelling common factors - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - How to multiply and divide like terms - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - Solving direct variation equations - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - How to find arc length around around a circle (circular arc length) - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - How to add, subtract, multiply, and divide decimal numbers - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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      <image:title>Krista King Math | Blog - Factoring quadratic equations with coefficients - Hi! I'm krista.</image:title>
      <image:caption>I create online courses to help you rock your math class. Read more.</image:caption>
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