The amplitude ratio (A(omega)) and phase shift function (phi(omega)) for irrational transfer function (mathrm{G}(s)=frac{e^{-4 s}}{s}) respectively are

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The amplitude ratio \(A(\omega)\) and phase shift function \(\phi(\omega)\) for irrational transfer function \(\mathrm{G}(s)=\frac{e^{-4 s}}{s}\) respectively are
(a) \(\mathrm{A}(\omega)=-4 \omega, \phi(\omega)=-\pi / 2\)
(b) \(\mathrm{A}(\omega)=1 / \omega, \phi(\omega)=-4 \omega-\pi / 2\)
(c) \(\mathrm{A}(\omega)=1 / \omega, \phi(\omega)=-4 \omega\)
(d) \(\mathrm{A}(\omega)=-4 \omega, \phi(\omega)=-4 \omega\).

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