Consider the block diagram shown in Figure.(a) Find the difference equation model for this...

Consider the block diagram shown in Figure.

(a) Find the difference equation model for this system.

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(b) Find the system transfer function.

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(c) Determine the stability of the system.

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(d) Find the unit-step response of the system.

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(e) If the unit-step response has a finite final value, calculate the final value.

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(f) Use MATLAB to calculate and plot the step response. Compare the response computed by MATLAB with your results from Parts (d) and (e).