The open loop transfer function of a unity feedback control system is $G(s)= K/s(1+Ts)$.

a) By what factor should the amplifier gain “K” be multiplied in order to increase the damping ratio from 0.2 to 0.8?

b) By what factor should “K” be multiplied so that the maximum overshoot for a step input decreases from 60% and 10%.