Question: For a system with open-loop transfer function [ mathrm{G}(s) mathrm{H}(s)=frac{mathrm{K}}{s(s+3)left(s^{2}+6 s+64ight)} ] Sketch the root locus showing all details thereon. Comment on the stability of

For a system with open-loop transfer function

\[
\mathrm{G}(s) \mathrm{H}(s)=\frac{\mathrm{K}}{s(s+3)\left(s^{2}+6 s+64ight)}
\]

Sketch the root locus showing all details thereon. Comment on the stability of the system.

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