Please provide steps and explanations if possible

1), 2)

The graph of f "(36) is given below. How large do we have to choose 11 so that the Trapezoid Rule approximation to f: f (x) dx is accurate to within 0.0001? . A solid is generated by rotating about the x-axis the region under the curve y = f (x) where f is a positive function and x 2 0. The volume generated by the part of the curve fromx = 0 to x = m is m2 for all m > 0. Find the function f. Hint: At some point you will have to use FTC 1