Draining a pool Water is drained from a swimming pool at a rate given by R(t) = 100e?0.05tgal/hr. If the drain is left open indefinitely, how much water is drained from the pool?

Problem 44EDraining a pool Water is drained from a swimming pool at a rate given by . If the drain is left open indefinitely, how much water is drained from the poolSolution:-Step1Given thatWater is drained from a swimming pool at a rate . If the drain is left open indefinitely.Step2To findhow much water is drained from the poolStep3Let that the initial rate of draining is 100 gal per hour and then it decreases continuously by 5%/hrR(t)=100 Integrate both side we get,dt =dt =100 =galSo, 2000gal water is drained from the pool.