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Oil is pumped into a tank at the Sunoco refinery at a constant rate of 8 gallons per minute. Oil leaks out of the tank at the rate of t + 1 gallons per minute, for 0 ≤ t ≤ 120 minutes. At time t = 0 , the tank contains 30 gallons of oil. a. How many gallons of oil leak out of the tank from time t = 0 to t = 3 minutes ? b. How many gallons of oil are in the tank at time t = 3 minutes? c. Write an expression for A(t), the total number of gallons of oil in the tank at time t . d. At what time t , for 0 ≤ t ≤ 120 , is the amount of oil in the tank a maximum? Justify your answer.
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