5. A tank contains 150 gallons of brine. Initially, the tank contains 20 pounds of salt....

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5. A tank contains 150 gallons of brine. Initially, the tank contains 20 pounds of salt. Brine containing 3 pounds per gallon of salt is poured into the tank at a rate of 1 gallon per minute. The well-mixed brine is drained out of the tank at a rate of 4 gallons per minute. (a) (2 points) Find an initial value problem modeling the amount of salt A(t) in the tank at time t. (b) (4 points) Find the solution of the IVP in part (a). You can round C to two decimal places. (c) (2 points) Looking at the solution, something seems to happen at time t= 50. Why does the solution "break" at this point? 5. A tank contains 150 gallons of brine. Initially, the tank contains 20 pounds of salt. Brine containing 3 pounds per gallon of salt is poured into the tank at a rate of 1 gallon per minute. The well-mixed brine is drained out of the tank at a rate of 4 gallons per minute. (a) (2 points) Find an initial value problem modeling the amount of salt A(t) in the tank at time t. (b) (4 points) Find the solution of the IVP in part (a). You can round C to two decimal places. (c) (2 points) Looking at the solution, something seems to happen at time t= 50. Why does the solution "break" at this point?