(a) Write the state equations for the system modeled by the simulation diagram of Figure.(...

(a) Write the state equations for the system modeled by the simulation diagram of Figure.

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(b) Use the results of Part (a) to find the system-transfer function.

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(c) Use MATLAB to verify the results in Part (b).

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(d) Use the system transfer function to draw a simulation diagram that is different from that of Figure.

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(e) Write the state equations for the simulation diagram of Part (d).

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(f) Use the results of Part (e) to calculate the system transfer function, which will verify the results of Part (e).

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(g) Check the results of Part (f) using MATLAB.