Sketch Bode plot for a feedback system with loop transmittance [ mathrm{G}(s) mathrm{H}(s)=frac{100(s+4)}{s(s+0.5)(s+10)} ] and find (a)

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Sketch Bode plot for a feedback system with loop transmittance

\[
\mathrm{G}(s) \mathrm{H}(s)=\frac{100(s+4)}{s(s+0.5)(s+10)}
\]

and find (a) GM (b) PM (c) gain cross over frequency ( \(d\) ) phase cross over frequency. Comment on closed loop stability.

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