Two liquid storage systems are shown in the figure. Each tank is 4 feet in diameter. 91 9: TIL System System II For System I, the valve acts as a linear resistance with the flow-head relation q = 8.33 h, where a in gal/min and his in feet. For System II, variations in liquid level h do not affect exit flow rate q. Suppose that each system is initially at a steady state with h = 6 ft and q1 = 40 gal/min and that at time t=0 the inlet flow rate suddenly changes from 40 to 80 gal/mm. For each system, determine the following information: (a) The transfer function H'(s)/Qi(s) where the primes denote deviation variables. (b) The transient response h(s). (c) The new steady-state levels. (d) If each tank is 10 ft tall, which tank overflows first? when