Mixed real and complex poles Sketch the root locus with respect to K for the equation 1+ KL(s) = 0 and the following choices for L(s). Be sure to give the asymptotes, arrival and departure angles at any complex zero or pole, and the frequency of any imaginary-axis crossing. After completing each hand sketch verify your results using MATLAB. Turn in your hand sketches and the MATLAB results on the same scales. (a) L(s) = (s+2) s(s+ 10) (s² + 2s + 2)

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