Consider a second-order system with the transfer function H(s). For each part, include a pole-zero plot and the system modes. Give a transfer function H(s) such that
(a) the system is unstable
(b) the system is stable
(c) the system’s natural response does not contain a damped sinusoid
(d) the system’s natural response contains a damped sinusoid
(e) the system’s natural response contains an undamped sinusoid
(f) the system’s frequency response approaches a constant at very high frequencies
(g) the system’s frequency response approaches zero at very high frequencies
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