Answer the above question correctly providing necessary formulas, equations, diagrams, charts, graphs and plots

20. Consider two interacting tanks in series, with outlet flowrates that are a function of the square root of tank height. The flow from tank 1 is a function of h1h2, while the flowrate out of tank 2 is a function of h2 The following modeling equations describe this system: [dtdh1dtdh2]=[f1(h1,h2,F)f2(h1,h2,F)]=[A1FA11h1h2A21h1h2A22h2] For the following parameter values 1=2.5minf252=65minft25A1=5ft2A2=10ft2 and the input F=5minft3 The steady-state height values are h1s=10h2s=6 Perform a phase-plane analysis and discuss your results