A rectangular swimming pool 10 ft wide by 20 ft long and of uniform depth is being filled with water. a. If t is elapsed time, h is the height of the water, and V is the volume of the water, find equations relating V to h and dV>dt to dh>dt. b. At what rate is the volume of the water increasing if the water level is rising at 1/ 4 ft>min? c. At what rate is the water level rising if the pool is filled at a rate of 10 ft3>min?
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