The world's largest telescope is located in Hawaii. The primary mirror has a diameter of 11m and consists of a mosaic of 35 hexagonal segments with orientation of each segment actively controlled. This unity feedback system for the mirror segments has the loop transfer function: L(S)=Gc(s)G(s)=s(s2+5s+21)K (a) Find the asymptotes of root locus plot and draw them in the s-plane. (b) Find the angle of departure from the complex poles. (c) Determine the gain when two roots lie on the imaginary axis. (d) Sketch the root locus. Do not use MATLAB / SIMULINK