P7.38 A unity feedback system has the loop transfer function

(a) Determine the range of K so that the closed

loop system is stable.

(b) Sketch the root locus.

(c) Determine the roots for K = 100.

(d) For K = 100, predict the percent overshoot for a step input.

(e) Determine the actual percent overshoot.

K L(s) =G(s)G(s)= (s+2) (s+8)