A system has a process transfer function

(a) Determine G(z) for Gp(s) preceded by a zero-order hold with T = 0.05 s. (b) Determine whether the digital system is stable, (c) Plot the impulse response of G(z) for the first 15 samples, (d) Plot the response for a sine wave input with the same frequency as the natural frequency of the system.

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100 G(s) G$2 100