The tank has the volume of 10 liters. It is initially (t=0) filled with pure water. A salt solution is flowing in at the rate 2 liters per minute. with the instant mining in the tank, the mixture is simultaneously drained out at the same rate of 2 liters per minute. The salt concentration in the in-flow equals 5 grams of salt per liter. Let the number of grams of salt in the tank at the t be Q(t). Find:
A) The IVP for Q(t):
Q'(t)=
Q(0)=
B) Q(t)=
C) Q(4)=
D) The long-term prediction lim t-> infinity Q(t)=