The cylindrical tanks shown in Figure Q2 have bottom areas A1 and A2. The mass in flow rate qmi(t) from the flow source is given as a function of time. The resistances are linear and the outlet discharges to atmospheric pressure pa. a) With a relevant assumption and an aid proper FBD in your analysis, develop a mathematical model of the liquid heights h1 and h2. (20 marks) b) Determine the transfer function H1(s)/Qmi(s). Assume that the resistances are equal: R1= R2=R, and the areas are A1=A and A2=3A. (10 marks) c) Present your comments about the stability characteristics of the system based on the results in part Q2(b). (5 marks) d) Using suitable variables and proper assumption on the output to be measured, determine the state-space model of the system