Sketch the root locus for the product [ mathrm{G}(s) mathrm{H}(s)=frac{mathrm{K}}{s(s+3)left(s^{2}+3 s+11.25ight)} ] and comment on stability.
Question:
Sketch the root locus for the product
\[
\mathrm{G}(s) \mathrm{H}(s)=\frac{\mathrm{K}}{s(s+3)\left(s^{2}+3 s+11.25ight)}
\]
and comment on stability.
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