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Question

The input to a circuit is the voltage $v_{s}$. The output is the voltage $v_{o}$. The step response of the circuit is $v_{\mathrm{o}}(t)=\left(4+32 e^{-90 t}\right) u(t)$ Determine the network function $\mathbf{H}(\omega)=\frac{\mathbf{V}_{\mathrm{o}}(\omega)}{\mathbf{V}_{\mathrm{s}}(\omega)}$ of the circuit and sketch the asymptotic magnitude Bode plot.

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