Filling a pool A cross section of a rectangular pool of dimensions 80 feet by 40 feet is s...

Filling a pool A cross section of a rectangular pool of dimensions 80 feet by 40 feet is shown in the figure. The pool is being filled with water at a rate of 10 ft3/min.

EXERCISE

(a) Express the volume V of the water in the pool as a function of time t.

(b) Express V as a function of the depth h at the deep end for 0 ≤h ≤6 and then for 6 < h ≤9.

(c) Express has a function of t for 0 ≤h ≤6 and then for 6 < h ≤9.