Mixing problems are an application of separable differential equations. They’re word problems that require us to create a separable differential equation based on the concentration of a substance in a tank.

Read MoreTo say whether the planes are parallel, we’ll set up our ratio inequality using the direction numbers from their normal vectors.

Read MoreThe fundamental theorem of calculus (FTC) is the formula that relates the derivative to the integral and provides us with a method for evaluating definite integrals.

Read MoreThe squeeze theorem allows us to find the limit of a function at a particular point, even when the function is undefined at that point.

Read MoreIn this lesson we’ll work with both positive and negative fractional exponents.

Read MoreThink of an equation as a balance scale that must always be balanced. What you do to one side of an equation you must do to the other in order for it to remain balanced.

Read MoreWe need to change the current equation so that it's in terms of a new variable u and its derivative u'.

Read MoreTo find the radius, it’s important that we take the square root of the right-hand side, and not just the full value from the right

Read MoreEvaluating a definite integral means finding the area enclosed by the graph of the function and the x-axis, over the given interval [a,b].

Read More“Limits at infinity” sounds a little mysterious, and it can be difficult to imagine the concept when we first hear this term. But let’s start by remembering that limits can be defined as the restrictions on the continuity of a function.

Read MoreRemember that any number can be written as itself divided by 1. For example, 3 is the same as 3/1. Also remember that the top part of a fraction is called the numerator and the bottom part of a fraction is called the denominator.

Read MoreThe distributive property can be used even when there are two sets of parentheses with two terms each. It’s called binomial multiplication (remember that a bicycle has two wheels and a binomial has two terms).

Read MoreWhat you want to do is create a field of equally spaced coordinate points, and then evaluate the derivative at each of those coordinate points. Since the derivative is the same thing as the slope of the tangent line, finding the derivative at a particular point is like finding the slope of the tangent line there, which of course is an approximation of the slope of the actual function.

Read MoreIn the same way that we plot points in two-dimensional coordinate space by moving out along the x-axis to our x value, and then moving parallel to the y-axis until we find our point, in three-dimensional space we’ll move along the x-axis, then parallel to the y-axis, then parallel to the z-axis until we arrive at our coordinate point.

Read MoreEvaluating a definite integral means finding the area enclosed by the graph of the function and the x-axis, over the given interval [a,b].

Read MoreWhen we’re evaluating a limit, we’re looking at the function as it approaches a specific point.

Read MoreSimple interest is different than compounded, or compounding, interest. With compounding interest, you earn interest on your interest, so that your money grows exponentially…

Read MoreAny nonzero real number raised to the power of zero is one, this means anything that looks like a^ will always equal 1 if "a" is not equal to zero.

Read MoreIn this video we’re talking about jump discontinuities, or discontinuities of the first kind.

Read MoreCommutative comes from the word “commute” as in “the morning commute.” Since commute means to move you can remember that, when using the commutative property, the numbers will move around.

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