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3. (1.5 points) For the characteristic equation 1+s(s+1)(s+5)K=0 (a) Draw the real-axis segments of the corresponding root locus. (b) Sketch the asymptotes of the locus

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3. (1.5 points) For the characteristic equation 1+s(s+1)(s+5)K=0 (a) Draw the real-axis segments of the corresponding root locus. (b) Sketch the asymptotes of the locus for K. (c) Sketch the locus. (d) Verify your sketch with a MATLAB plot (include that plot)

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