Answer as soon as possible not from chat gpt pls Question $8$

Convolution and impulse response

$($a$)(5$ points$)$ Evaluate the convolution and simplify the final results without including u$($t$)$ or $\backslash$delta $($t$)$

z$($t$)=$g$($t$)*($du$($t$-5))/($dt$)$

$($b$)(10$ points$)$ Let

f$($t$)=\{(2$ if $2<=|$t$|<=3),(0$ else $)$:$\}$

Determine the function y$($t$)=$f$($t$)*$u$($t$).$ You may either define y$($t$)$ piece$-$wise or sketch it$.$ Either

way is fine! Be sure to clearly label key values on your sketch if you choose the graphical route.