Water is pumped into an underground tank at a constant rate of 8 gallons per min

Question

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 square root of (t+1) gallons per minute, for 0<=t<=120. At t=0, the tank contains 30 gallomns of water.

a) How many gallons of water leak out of the tank from t=0 to t=3 minutes?

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

c) Write an expression for A(t), the total number of gallons of water in the tank at time t.

d) At what time t, for 0<=t<=120, is the water in the tank a maximum?

Explanation / Answer

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