Please solve all parts clearly and seperately

Modelling, linearization, and simulation of two interacting tanks Consider the process consisting of two interacting liquid tanks in the figure. The volumetric flow rate into tank 1 is F0, the vol. flow rate from tank 1 to tank 2 is F1, and the vol. flow rate from tank 2 is F2. The height of the liquid level is h1 in tank 1 and h2 in tank 2 . Both tanks have the same cross-sectional area A. The flow rates F1 and F2 depend on the liquid levels according to F1=h1h2,F2=h2 where is a constant parameter. c) Assume that A=0.5m and =2m2.5/h and that the process initially is at the steady-state defined by F0=2m3/h. From this, the steady state-values of the other variables can also be calculated. Determine the linearized model using these numerical data. d) Simulate both for the nonlinear and the linearized model how h1,h2, and F2 change as functions of time when F0 is changed (i) stepwise (i.e. "immediately") from 2m3/h to 2.5 m3/h, (ii) stepwise from 2m3/h to 1.5m3/h, (iii) sinusoidally with the average value 2m3/h, amplitude 1m3/h and frequency 2 cycles/h. Simulate all cases for 10 hours. The simulations are most easily done with SIMULINK or MATLAB and its ODE solver ode 45