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
f(t)=450t^(2)
where
t
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