$($ii$)$ Suppose that $x(j)$ is depicted in Figure $1.$ Determine the spectrum of $y(t)=x(t)p(t)$ for each of the following choices of $p(t)($i$.$e$.$ find $Y(j)$ in terms of $x(j),$ and then sketch it$.$

Figure $1$

$($c$)p(t)={\displaystyle \underset{n=-}{\overset{}{}}}(t-4n)$

$Y(j)$

Sketch of $Y(j)$