CP6.9 Consider a system represented in state variable form

where x(t) = Ax(t) + Bu(t) y(t)=Cx(t) + Du(t), 0 1 0 A= 0 0 1 B -k-15-3 2 0 C [401], D=[0]. (a) For what values of k is the system stable? (b) Develop an m-file to plot the pole locations as a function of 0 < k < 50, and comment on the results.