A unity negative feedback control system has the loop transfer function: L(s) = Ge(s)G(s) = K s(s+√2K) R(s) Y(s) K s(s+ √2K) a) (5 points) Determine the closed-loop transfer function T(s). b) (6 points) Determine the percent overshoot (P.O.) and settling time (Ts) using a 2% settling criterion due to a unit step input. c) (4 points) For what range of K is the settling time less than 1 second?