1. The rate at which raw sewage enters a treatment tank is given by E(t) = 850 +715cos gallons per hour 6. %3D for 0stS4 hours. Treated sewage is removed from the tank at the constant rate of 645 gallons per hour. The treatment tank is empty at time t = 0. (a) How many gallons of sewage enter the treatment tank during the time interval 0 SiS 4? Round your answer to the nearest gallon. (b) For 0 StS 4, at what time t is the amount of sewage in the treatroent tank greatest? To the nearest gallon, what is the maximum amount of sewage in the tank? Justify your answers. (c) For 0 Sis 4, the cost of treating the raw sewage that enters the tank at time ↑ is (0.15 – 0.021) dollars per gallon. To the nearest dollar, what is the total cost of treating all the sewage that enters the tank during the time interval 0StS 4?

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