A tank with a time constant of 1 minute and a resistance of 1/9 ft/ft3/min operates at a steady state at an inlet velocity of 10 ft3/min. At t=0, the inlet flow rate is increased to 100 ft3/min for a 0.1 minute period. a) How does the liquid height in the tank change over time? b) What is the response to the impulse function, compare.