Hi, I need answer for the following question:

10. (10 pts) A 2000 liter tank has 800 liters of water, with an initial concentration of 20 g/liter of salt. Water is flowing into the tank, with a concentration of c(t) = 5 + ZCOS(T[ t) grams per liter, at a rate of 20 liters/minute. The solution is flowing out of the tank at 5 liters per minute. A) Set up an initial value problem that represents the quantity, Q(t) of salt in a tank at any time, t > 0, until the tank overflows: B) Solve the initial value problem to find Q(t.) C) What will be the concentration of salt in the water at the time the tank overflows? (you may use a calculator approximation!) 11. (10 pts) A) Show, directly, that L[y] = x2 y\" + x y' 4y is a linear operator. B) Which of the following, if any, are in ker(L)? i)y=3x2 ii)y=2x3