a) Given the below root locus for a unity feedback system shown in the smaller figure below, construct the equation from which we can compute where the rootlocus leaves the real axis. You do not have to solve the equation.. The “X”indicates a pole and the black dot a zero.

b) Sketch an approximate root locus for a unity feedback system with the following G(s). On the plot, show only the following: where the poles and zeros are, the number of branches, the real-axis segments, and the a symptotes. Also compute the angles of departure at the complex poles. For this part, leaving the solution in the form of the sum of Arc Tangents is sufficient. G(s)=\frac{1}{\left(s^{2}+s\right)\left(s^{2}+4 s+13\right)}