Please show procedures. Thanks so much!!

= A liquid storage system is shown below. The normal operating conditions are q1 = 10 ft/min, q2 = 5 ft3/min, h = 4 ft. The tank is 6 ft in diameter, and the density of each stream is 60 lb/ft?. Suppose that a pulse change in q occurs as shown in the figure. 91 92 91 15 10 A 2 12 Time (min) (a) What is the transfer function relating H' to l (b) Derive an expression for h(t) for this input change. (c) What is the new steady-state value of liquid level ? (d) Repeat (b) and (c) for the sinusoidal input (3 sin(2t)) and doublet pulse input (same in Question 1) where the changes in q are from 10 to 15 to 5 to 10 ft3/min