Consider the following unity feedback system for all the questions below. R(s) C(s) G(s) Question 3 (2+8 points) If G(s) is given as follows. K(s +2)(s +3) (s2 + 2s + 2)(s + 4)(s +5)(s +6) G(s) = a) Sketch the root locus. b) Find angles of departure from the complex poles.

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Consider the following unity feedback system for all the questions below. R(s) C(s) G(s) Question 3 (2+8 points) If G(s) is given as follows. K(s +2)(s +3) (s2 + 2s + 2)(s + 4)(s +5)(s +6) G(s) = a) Sketch the root locus. b) Find angles of departure from the complex poles.

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