An LTI system has the impulse response $h(t)$ depicted in Fig. $1.$ Use linearity and time invariance to determine the system output $y(t)$ if the input $x(t)$ is

$($a$)x(t)=2(t+2)+(t-2)$

$($b$)x(t)=(t-1)+(t-2)+(t-3)$

$($c$)x(t)={\displaystyle \underset{p=0}{\overset{}{}}}(-1{)}^p(t-2p)$