The Bode plot of a first-order system indicates that the corner frequency is \(0.35 \mathrm{rad} / \mathrm{sec}\) and high-frequency (at \(\omega=100 \mathrm{rad} / \mathrm{sec}\) ) logarithmic magnitude is \(-37.45 \mathrm{~dB}\).

a. Find the system's transfer function.

b. Using the results of (a), find the approximate low-frequency logarithmic magnitude.