A tank initially contains 700 gallons of water in which 5 pounds of salt are dissolved. A salt solution containing 2.5 pounds of salt per gallon is poured into the tank the tank at rate of 5 gal/min. The mixture in the tank is stirred and drained off at the rate of 9 gal/min. (a). Find the initial value problem that describes the amount of salt A(t) in the tank until the tank is empty
(b). Find the amount of salt A(t) in the tank until the tank is empty
(c). Find the concentration c(t) of salt in the tank until the tank is empty
(d). Fin the concentration of salt in the tank at the exact time the tank becomes empty