A liquid storage system is shown in figure shown below. The normal operating conditions are q1=10minft3,q2=5minft3,h=4ft. The tank is 6ft in diameter, and density in each stream is 60lbbtft3. (a) What is the transfer function relating H to Q1 ? (b) Derive an expression for h(t) for a step change in q1. Show all steps. (c) Find out the new steady state value of the liquid level in the tank when q1 is changed from 10 to 15ft3/min