Figure Q4 shows a liquid-level system with a pump input and a drain whose linear resistance is R2. The inlet from the pump to the tank has also a linear resistance R1. Q4 Pa h R R2 PI Pa 4m Pa Figure Q4 (a) Determine a mathematical model of the liquid height h of the system. (10 marks) Compute qm, when the system in an equilibrium condition, i.e. qm, = 4m, (4 marks) %3D (b) (c) Present your comments on the liquid height h, the flow rate and the resistances R, and R, of the system. (6 marks) Page 2 of 3