$($Convolution CT$)$ Consider the following LTI system with input $x(t)$ and output $y(t)$ :

$($a$)(5$ pts$)$ Sketch the input signal $x(t)=u(t+1)-u(t-1).$

$($b$)(5$ pts$)$ Sketch the impulse response signal $h(t)=e^{-3t}u(t).$

$($c$)(5$ pts$)$ Write down the convolution $($integral$)$ equation to represent $y(t)$ in terms of $x(t)$ and $h(t).$

$($d$)(10$ pts$)$ Use convolution to compute the output signal $y(t).$