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For Problems 2 through 4, you will assume that the forward-path transfer functions as described in each G (s) equation exist in a single-loop negative feedback system with H(s)1. Sketch the loci of roots of the characteristic equation as K is varied from zero to infinity for each of the systems. Use the rules of construction (as necessary) to obtain the sketch. If appropriate, shovw asymptotes; meet/breakaway points (and K at the meet or breakaway points); jo -axis crossings (and K at the crossing); and angles of arrival or departure. show crosing: and angles ofarvalorbakaway poins), Problem 2 erootlocusruiestoproduce a sketch for the forwardtransfer function. 10 s (s+K
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