:the open-loop transfer function of a unity feedback system is g(s) = k s(s + 2). the desired system response to a step input is specified as peak time tp = 1 sec and overshoot mp = 5%. (a) determine whether both specifications can be met simultaneously by selecting the right value of k. (b) sketch the associated region in the s-plane where both specifications are met exactly and overlay the root locus on top of this plot. (c) relax the specifications in part (a) by the same factor (i. e., multiply both specifications by a scaling value r) and pick a suitable value for k, and use matlab to verify that the new specifications are satisfied.