Problem 2. Two tanks are connected together in the way illustrated in Figure 2 . The density of the incoming liquid, , is constant. The cross-sectional areas of the two tanks are Al and A2. Determine the dynamic response of the levels and flows using approximated linear models. a) Develop a model for this system that can be used to find hl, h2, Fo, F1, F2 and F3 as functions of time for any given variations in inputs. Write all the equations as linearized deviation variables. b) Find the transfer function G(s)=Fo(s)H1(s), where H1(s) is the level of the first tank and Fo(s) is a flow rate input. Figure 2. Note: the density of the incoming liquid, , and tanks' volumes are constant. The valves can be linearized and are represented with values Kp1,Kp2 and Kp3