# Calculus

posted by
**Javier** on
.

A tank contains 2920 L of pure water. A solution that contains 001 kg of sugar per liter enters a tank at the rate 4 L/min The solution is mixed and drains from the tank at the same rate.

(a) How much sugar is in the tank initially?

(b) Find the amount of sugar in the tank after t minutes. (Answer should be a function of t)

(c) Find the concentration of sugar in the solution in the tank after 39 minutes.

For a), I put 0.

For b), I have so far: Q'=R_in*C_in - R_out*C_out= (4)(0.01)-(4)*(Q(t)/V)

Not sure what to do next. Help would be greatly appreciated.