$(10$ pts$)$ For $m(t)=20*sinc(10t)$ and $x(t)=m(t)*sin(2100t),$ solve for the following. Hint: Do you really need to compute these integrals?

$($a$){\displaystyle \underset{}{\overset{}{}}}m(t)dt$

$($b$){\displaystyle \underset{}{\overset{}{}}}x(\frac{t}{2})dt$

$($c$){\displaystyle \underset{}{\overset{}{}}}m(-\frac{f}{2}+6)df$

$($d$){\displaystyle \underset{}{\overset{}{}}}x(f-4)d$