Consider the liquid level system shown in the figure. Assume the outflow rate Q (m/s) through the outflow value is related to the liquid level H by Qo = 0.01H At static equilibrium the inflow rate Q; and outflow rate Qo are at Q = 0.015m/s and the liquid level stays at constant . The capacitance C of the tank is 2m. li=+qi H = A + h lo= +90 a. (5pts) Find the static equilibrium value of the liquid level H. b. (10pts) Develop the governing equations for the liquid level system and linearize the governing equations at the static equilibrium state (H,) obtained from (a).