To 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.

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.

Read MoreWhen you have multiple functions, you can use some simple rules to find their sum, difference, product, or quotient.

Read MoreKeep in mind that present value is the opposite of future value. Future value is how much we need to have at some point in the future; present value is how much we need to have right now.

Read MoreWhenever you're dealing with a multivariable function, the graph of that function will be a three-dimensional figure in space.

Read MoreWhen you hear your professor talking about limits, he or she is usually talking about the general limit.

Read MoreRemember that composite functions are “functions of functions”, which means that we have one function plugged into another function. As an example, sin(x^2) is a composite function because we’ve plugged the function x^2 into the function sin(x). Think of any function that as an “outer part” and an “inner part” as composite functions.

Read MoreRemember that the phrase “rationalize the denominator” just means “get the square root(s) out of the denominator”.

Read MoreIt can be difficult to visualize what a triple integral represents, which is why in this video we’ll be answering the question, “What am I finding when I evaluate a triple integral?”

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