Consider a chemical processing plant represented by the following system, [K G(s)=frac{K}{s(s+1)(s+5)}] (a) Draw the root locus

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Consider a chemical processing plant represented by the following system,

\[K G(s)=\frac{K}{s(s+1)(s+5)}\]

(a) Draw the root locus of the system.

(b) For what value of \(K\) are the roots on the imaginary axis?

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