5 5. A tank contains 200 L of salt water with a concentration of 4 g/L. Salt water with a concentration of 3 g/L is being pumped into the tank at the rate of 8 L/min, and the tank is being emptied at the rate of 8 L/min. Assume the contents of the tank are being mixed thoroughly and continuously. Let S(t) be the amount of salt (measured in grams) in the tank at time t (measured in minutes). 10 points 5.(a). (1 points) What is the amount of salt in the tank at time t = 0? 5.(b). (2 points) What is the rate at which salt enters the tank? 5.(c). (2 points) What is the rate at which salt leaves the tank at time t? 5.(d). (1 points) What is ds the net rate of change of salt in the tank at time t? dt' dt min min 5.(e). (4 points) Write an initial value problem relating S(t) and problem. ds dt Solve the initial value