Calculate the work required to pump/drain the parabolic pool. A full answer should include(1) a statement of the integral to be calculated (along with diagrams and sentences which explain the partsof the formulae), (2) the commands used to find the numerical answer, and (3) full sentence explanations. The prompts below are meant to help you solve the problem by providing structure.. Required:
a. Draw the parabola and draw a rectangle at ys with height Îy to represent a dise of water to be pumped.
b. What is the volume of the dise at y?
c. What distance does the dise of water at y need to be pumped?
d. If the weigh-desnity of water is 62.41b/f, what force is needed to life the dise of water at y?