Step 1: We already have the second derivative from part (b), so all we have to do is set it
equal to zero and solve for x.
24 x^2 − 8 = 0
x^2 =
x = ±
Step 2: In order to find the y-coordinates, plug the x-values back into the original equation and
solve.
So the points of inflection are and .
- Let F(x) = dt on the closed interval [0, 2π].
(a) Approximate F(2π) using four inscribed rectangles.
This means that we need to find dt.
Step 1: The graph of cos + from 0 to 2π, using four inscribed rectangles looks like
the following: