asaaap i have to submit it

Question 9: Consider the unity feedback system with the following open loop transfer function: K G(s)H(s) = $(8+2) a) Sketch the root locus of the system when K 20. b) Is it possible to choose K such that one of the closed-loop dominant poles is -- 1+j3? c) Using the root locus of the system, design a PD Controller for the system such that one of the closed-loop dominant poles is - 1+j3. d) Repeat parte) using the analytical method. e) Find all the closed loop poles of the system. Can the closed loop system be approximated by a second order system? 1) Use MATLAB to plot the root locus of the system and to plot the unit step response of the system