4) A vertical cylindrical storage tank with an area of A=2m2 and two outlets from the bottom, z=3.3m liquid height, and F=5m3/min. While operating in steady states with the input flow rate values, the input flow rate increases in steps and F=6m3/min. (a) Consider the output resistors to be R1=2min/m2 and R2=1min/m2 and linear and obtain the z(s)/F(s) transfer function of the system and determine the parameter values. Is the system inherently stable? (b) Obtain the equation that gives the change of the liquid level over time and plot it. (c) Calculate the liquid level at t= and the liquid level at the new steady state reached. Linear resistance correlation :F1=R1zF2=R2z