Q$2.$ Fig. Q$2($a$)$ shows the unit impulse response function $\backslash ($ h$($t$)\backslash )$ of a continuous$-$time linear timeinvariant system.

$($a$)$ Determine whether the system in Fig. Q$2($a$)$ is causal or noncausal, and has memory or is memoryless. Justify your answers.

$($b$)$ The continuous$-$time signal shown in Fig. Q$2($b$)$ is input to the system in Fig. Q$2($a$).$ Determine the output of the system. You may use either the graphical technique or the analytical technique to determine the system output.