Question: please solve all parts,show work and code. Thank you ethod of your choice for solution process. 1) Obtain the governing equations of the system. 2)

please solve all parts,show work and code. Thank you

ethod of your choice for solution process. 1) Obtain the governing equations of the system. 2) Express them in state space form, defining the A, B, C and D matrices. Use [h1h2h3]T as your state vector, [qiqd] as the input vector and [q2qoP3]T as the output vector. (P3 is the pressure at the point shown below) 3) Use 'Isim' in MATLAB/Python to solve the system, and plot the outputs for a time of 1500 seconds. You may use the following values for system parameters. Use your MATLAB solutions to determine: a. Pressure P3 after 300 seconds. b. How long it takes for flow rate qo to exceed the input flow rate qd. C1=2105kgm4s,C2=4105kgm4s,C3=9105kgm4kR1=5106kg/(m4s),R2=2.5106kg/(m4s),R3=7.5106kg/(m4s)=1000m3kg,g=9.81s2mqi=0.06sm3,qd=0.04sm3 4) Double the cross-sectional area of tank, C1. What happens to the capacitance of this tank? How long does it take for qo to exceed qd now. Explain the difference between your results here and those in (3) (b)

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