Problem $3$: $(30$ points$)$ A$)$ A system has the following frequency response: w $($rad$/$s$)2345681020$ log$|$G$($s$)|$ dB $40312316110-10$ Phase $($deg$)-120-130-140-150-157-165-180$ i$)(5$ pts$)$ What is the gain margin and phase margin? Explain how you got your answer. ii$)(5$ pts$)$ What is the change in gain required so that the system$$s gain margin is $20$ dB$?$ Explain how you got your answer. ii$)(5$ pts$)$ What is the change in gain required so that the system$$s phase margin is $60$ degrees? Explain how you got your answer.