(a) Verify that the transfer function for the circuit shown below is given by [H(s)=frac{V_{o}(s)}{V_{i}(s)}=frac{s^{2}+2 s+1}{s^{2}+4 s+4}]...

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(a) Verify that the transfer function for the circuit shown below is given by

\[H(s)=\frac{V_{o}(s)}{V_{i}(s)}=\frac{s^{2}+2 s+1}{s^{2}+4 s+4}\]

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(b) Find the unit impulse response for the circuit.

(c) Find the unit step response for the circuit.

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