Question: Consider a system whose open-loop transfer function is given by [T_{O L}=K G(s)=frac{K}{s(s+1)(s+2)}] (a) Find the range of (K) for which the unity feedback closed-loop

Consider a system whose open-loop transfer function is given by

\[T_{O L}=K G(s)=\frac{K}{s(s+1)(s+2)}\]

(a) Find the range of \(K\) for which the unity feedback closed-loop system is stable.

(b) Sketch the root locus of the unity feedback closed-loop system.

(c) Use a Routh-Hurwitz table to prove that your answer in (a) is correct.

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