How many gallons of water leak out of the tank

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Reference no: EM13202127

Water is pumped into an underground tank at a constant rate of 8 gallons per minute. Water leaks out of the tank at the rate of (t+1)^.5 gallons per minute for 0 ≤ t ≤ 120 minutes. At time t = 0, the tank contains 30 gallons of water.

(A) How many gallons of water leak out of the tank from time t = 0 until t = 3 minutes?

(B) How many gallons of water are in the tank at time t = 3 minutes?

(D) At what time t, for 0 ≤ t ≤ 120, is the amount of water in the tank a maximum? Justify your answer.

Reference no: EM13202127

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