A tank contains 60 lb of salt dissolved in 200 gallons of wa

A tank contains 60 lb of salt dissolved in 200 gallons of water. A brine solution is pumped into the tank at a rate of 2 gal/min; it mixes with the solution there, and then the mixture is pumped out at a rate of 2 gal/min. Determine A(t), the amount of salt in the tank at time t, if the concentration of salt in the inflow is variable and given by cin(t) = 2 + sin(t/4) lb/gal. A(t)= lb

Solution

HOPE YOU MEAN BY A[T] THE AMOUNT OF SALT IN THE TANK AT ANY TIME T ASSUMING SO WE HAVE