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Please show work in details 1) A water tank is being drained. Let V denote the volume of water (in liters) in the tank at

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1) A water tank is being drained. Let V denote the volume of water (in liters) in the tank at time t (in minutes) after opening the drain. V is given by the formula V (t ) = 100(25 - t) 2 a) (2 points) How much water is in the tank at the moment when the draining began? Volume: b) (2 points) How much water is in the tank 15 minutes after the draining began? Volume c) (2 points) At what time is the tank empty of water? d) (4 points) Find the average rate of change of the volume of water in the tank during the first 15 minutes. (Include units.) Average rate of change: e) (4 points) Find the average rate of change of the volume of water in the tank during the time interval [15, 25]. (Include units.) Average rate of change: N

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