For each of the L(s) shown below, sketch the root locus with respect to K for the equation 1+ KL(s) = 0. Give the asymptotes (position and angle), the arrival and departure angles, and points of multiplicity where relevant. After completing each hand sketch, verify your results using the MATLAB function rlocus. (Be sure to read the MATLAB instructions for using rlocus carefully.)Turn in your hand sketches and MATLAB plots on the same scales. Also, submit your MATLAB code. L(s)=\frac{(s+2)(s+4)}{s(s+1)(s+5)(s+10)} L(s)=\frac{1}{s^{2}+3 s+10} \text { c. } L(s)=\frac{1}{s^{2}(s+8)} \text { d. } L(s)=\frac{s+1}{s(s+10)\left(s^{2}+2 s+2\right)}