For the system below. The diameter of the first tank is 4.0ft and the diameter of the second one is 5.0ft, and the specific gravity of the liquid can be assumed constant (G=1.20). The values of Cv for each valve are: CV1=90ft3/minpsia12Cv2=75ft/minpsia1/2 Solve the problem by performing the following steps: a) Develop a mathematical model to obtain the equations that describe the system. b) Find the transfer functions for the first and second tank liquid levels H1(s) and H2(s), respectively, to their input variables, and write the expressions for the time constants and gains. c) Draw the block diagram for the system, showing all transfer functions obtained in part (b), and simplify it to obtain the global transfer function for H2(s) to the input variables f1(t),f2(t),f3(t), and f8(t). This is just an example of how the transfer function should look like (in terms of ) ( this is not the transfer function of this exercise H1(s)=4s+1K4[Fi(s)Fo(s)]+4s+11H2(s)