The mathematical model of a dynamic system is derived as a. If (f(t)) is the input and

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The mathematical model of a dynamic system is derived as

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a. If \(f(t)\) is the input and \(x_{1}\) and \(\dot{x}_{1}\) are the outputs, obtain the state-space form.

b. \(A\) Determine if the system is stable by examining the statespace form.

c. Find the transfer matrix directly from the given model.

d. Confirm the result of (c) by using ss2tf.

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