(3) Consider a unity negative feedback control system. The forward path is a cascade of a controller C(s) and a plant (or process) G(s)=s(s2)1. (a) If C(s) is a proportional controller, that is, C(s)=K, show that the system is always unstable by sketching the root locus. (b) If C(s) is instead the dynamic compensator C(s)=Ks+10s+2, sketch by hand the root locus for 0K<. use the routh stability criterion to determine value of k at root locus j crossings. state range values that ensure stable closed loops system. is your answer consistent with plot frequencies j-axis crossings>