Derive the transfer function H(s)/Q(s) for the liquid level system as shown in the fig.1, when (a) the tank level operates about the steady state value of hs =0.3 m. (b) the tank level operates about the steady state value of hs = 0.9m. The pump removes water at a constant rate of 4.72x10-3 m³/s and this rate is independent of head. Cross sectional area of tank is 0.093m² and R = 323 m/ (m³/s).