Oil is pumped into an underground tank at a constant rate of 8 gallons per minute. Oil leaks out of the tank at the rate of square root of T +1. Gallons per minute, for 0< or equal to t < or equal to 120 minutes. At time t=0 the tank contains 30 gallons of oil.
A) how many gallons of oil leak out out of the tank from t=0 to t=3 minutes
B) write an expression for A(t), the total number of gallons of oil in the tank at time t
C) how many gallons of oil are in the tank at time t=3 minutes
D) at what time t for 0< or equal to t < or equal to 120, is the amount of oil in the tank a maximum? Justify
