$3-(30$p$)$ The impulse response $h(t)$ of a continuous$-$time LTI system is given as follows.

a$)(20$p$)$ Compute the system output $y(t)$ when the following input signal is applied to the system.

b$)(5$p$)$ Is the given system causal? Explain.

c$)(5$p$)$ Is the given system BIBO stable? Explain. write paper