1. Two tanks are connected together in the following un-usual way in Fig. 1 a) Develop a model for this system that can be used to find h, h2, W2, and w; as functions of time for any given variations in inputs. Perform a degrees of freedom analysis. Identify all input and output variables. b) Notes: The density of the incoming liquid, p, is constant. The cross-sectional areas of the two tanks are A, and A2. W, is positive for flow from Tank 1 to Tank 2. The two valves are linear with resistances R, and Rs. h-h W R h w R wa hi h2 w2 W3- Figure 1