Given: 1+K*((s+1)*(s^2+81)/(s+13)*(s^2(s^2+100))) = 0 a) Sketch the root locus b)Is there a value of K that will cause all roots to have a damping ratio greater than .5? c)Find the values of K that yield closed-loop poles with the damping ratio %u03BE = .707 d)Use Matlab to plot the response of the resulting design to a reference step.