AP7.5 A unity feedback system has a loop transfer function

K L(s) = G(s)G(s) = s3+10s2 +8s-15 a. Sketch the root locus and determine K for a sta- ble system with complex roots with =1/2. b. Determine the root sensitivity of the complex roots of part (a). c. Determine the percent change in K (increase or decrease) so that the roots lie on the jw-axis.