$11.$ Looking at the Bode Plot on the right, what is the gain margin $($in dB $)?$

a$.+20$ dB

b$.+10$ dB

c$.-10$ dB

d$.-20$ dB

$12.$ The input to a system is $\backslash (2\backslash$sin $(4$ t$)\backslash )$ and the output is $\backslash (1\backslash$sin $\backslash$left$(4$ t$-\backslash$frac$\{\backslash$pi$\}\{6\}\backslash$right$)\backslash ),$ what is the amplitude ratio in dB $?$

a$.-3$ dB

b$.3$ dB

c$.-6$ dB

d$.-2$ dB

e$.$ None of the above

$13.$ Does the "Bode Plot" require a mathematical model of the system?

a$.$ yes

b$.$ No

c$.$ Can't tell

$14.$ Looking at the Bode Plot on the right, what is the system order and type?

a$.$ Second $\backslash$& $0$

b$.$ First $\backslash$& $0$

c$.$ Second $\backslash$& $1$

d$.$ First $\backslash$& $1$

e$.$ None of the above

$15.$ Looking at the closed$-$loop Bode Plot on the right, what is the bandwidth in rad$/$s$?$

a$.70$

b$.170$

c$.15$

d$.50$

e$.$ None of the above