Construct the bode plot on a semilog Graph$-$paper for a unity feedback system whose open loop transfer function is given by $G(S)=\frac{10(1+0\mathrm{.}1S)}{S(0\mathrm{.}5S+1)(1+0\mathrm{.}2S)}.$ From the bode plot determine

a$)$ Gain and phase crossover frequencies.

b$)$ Gain and Phase margin, and

c$)$ Stability of the closed loop system