Consider the following feedback control system Controller G.(s) R(s) Process 1 +58 +6 Y(s) Below are two potential controllers for this system: 1) G (s) = K (Proportional controller) 2) Ge(s) = K(1 + 1/s) (Proportional-integral controller) The design specifications are t, 10s and P.O. 10% for a unit step input. (a) Determine the area on the S-plane where the closed loop poles must be located such that the design requirements are satisfied. (b) Sketch the root locus with each of the given controllers and determine the values for K that satisfies the design specifications in each case.