Probtern $5$: In Fig. $3,$ its open$-$loop system is $G(s)=\frac{K{e}^{-0\mathrm{.}05s}(s^2+6\mathrm{.}8s+48)}{(s^3+21s^2+277s+1100)}.($a$)$ Make a Bode plot of $G(s)$ with $K=4.($b$)$ Final the gain and phase margins of part $($a$).($c$)$ Use the result in Part $($b$)$ to find the range of $K$ for the closed$-$loop stability. $(33$ points$)$

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