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)^½ gallons per minute, for 0<t<120 minutes. At time t=0, the tank contains 30 gallons of water.
How many gallons of water leak out of the tank from time t=0 to t=3 minutes?
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)^½ 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 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 o<t<120, is the amount of water in the tank a maximum? justify the answer
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