Sketch the Bode plots for following loop function and find the loop gain \(\mathrm{K}\) for gain cross over frequency \(\omega_{g c}\) to be \(3 \mathrm{rad} / \mathrm{sec}\).

\[
\mathrm{G}(s)=\frac{\mathrm{K} e^{-0.1 s}}{s(1+s)(1+0.1 s)}
\]