For the system shown in Fig. P 3. 6, determine the following using MATLAB

(a) display a root locus and phase

(b) display a close-up of the root locus where the axes go from -2 to 2 on the real axis and -2 to 2 on the imaginary axis

(c) overlay the 0. 707 damping ratio line on the close-up root locus

(d) obtain the step response at the gain for 0. 707 damping ratio.

Fig. P 3. 6

R(s) + K s(s +3) (s +5) (s +7) C(s) 2 (s +25) (s +10s +100)