$(6)$ For the bode plot shown $,$ determine the following:

a$)$ Phase margin: $q,$ gain margin $=q,$

b$),$ Bandwidth $=$

damping ratio $=$

$($c$)$ design a unity dc gain phase$-$lead compensator to increase the phase margin to $80$ degrees.

$(7)$ For the bode plot shown, determine the following:

$($a$)$ Phase margin: $q,{}_1=.q,,$ gain margin $=$

${}_{}=.q,$

$($b$)$ Bandwidth $=$ damping ratio $=$

Percentage Overshoot. $q,$

$($c$)$ Show on the graph the effect of multiplying the system by a gain $K=5$

$($d$)$ Comment on the effect of increasing gain K on gain margin, bandwidth and phase margin