For the system in Fig. (a) Find the locus of closed-loop roots with respect to K. (b) Is there a value of K that will cause all roots to have a damping ratio greater than 0.5? (c) Find the values of K that yield closed-loop poles with the damping ratio < = 0.707. (d) Use Matlab to plot the response of the resulting design to a reference step. 13 s+81 1000+ For the system in Fig.. (a) Find the locus of closed-loop roots with respect to K. (b) Is there a value of K that will cause all roots to have a damping ratio greater than 0.5? (c) Find the values of K that yield closed-loop poles with the damping ratio < = 0.707. (d) Use Matlab to plot the response of the resulting design to a reference step. 13 s+81 1000+