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The main thing to know when answering these sorts of questions is that the denominator of the fraction is the root you take of the given number. For example, 16 1/2 is the same as the sqaure root of 16, whic...

Use substitution u=cos(x) resulting in du=-sin(x)dx: ∫ 0 π/2 sin(x)cos(x)^2dx = ∫ 0 π/2 -u^2du = [-1/3 u^3] x=0 x=π/2 = [-1/3 cos(x)^3] 0 π/2 = (-1/3 cos(π/2)^3) - (-1/3 cos(0)^3) = (-1/3 0^3 ) - (-1/3 1^3) ...

Firstly, you should aim to eliminate one of the unknown values. As b is positive and negative in each equation, this would be a good value to eliminate. Both equations would have to be multiplied to cancel o...

There are a number of steps before sketching a graph. We will look over bits of theory and then do some examples (I'll show the examples in the online lesson space) First we have to find the x-intercept and ...

Recall that the derivative of exp(x) is exp(x), but notice this question is slightly more complex due to the x^2 term. This is example of differentiationg composite functions, and so the chain rule is requir...