(Solved): A valve in a full 6000 gallon water tank is slowly opening. Water flows out of the tank through the ...

A valve in a full 6000 gallon water tank is slowly opening. Water flows out of the tank through the valve. The flow rate in gallons per hour is given by the function

where

is in minutes. (a) How much water flows out of the tank in the first 7 minutes? gallons (b) How many minutes does it take for the tank to empty completely? minutes