(1 point) A tank contains 70 kg of salt and 1000 L of water. Water containing 0.4((kg))/((L)) of salt enters the tank at the rate 10(L)/(min). The solution is mixed and drains from the tank at the rate 5(L)/( min ). A(t) is
the amount of salt in the tank at time t measured in kilograms.
(a) A(0)=
(kg)
(b) A differential equation for the amount of salt in the tank is
=0t,A,A^('),A^('), for your variables, not A(t), and move everything to the left hand side.A(t)=
(e) Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.)
concentration =
(kg)/(L)