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1. Sketch the root locus by hand for the following and give the detailed application of Rules A - F. S - 2 KL(s) = K s2 + 2s + 10 4 pt. 1 2. Consider the plant transfer function G(s) = s2 - 1 Construct a lead control system to place the closed loop poles at -2+2j. a) Take the pole at - 10 and use Root Locus to compute the zero. b) Compute the gain K (hint: write down the equation of closed loop) 4+2 pt.

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