a$)$ Given $x(t)$ and $h(t)$ as below find $y(t)$

b$)$For a LTI system given $h(t+1)$ as below

i$)$ is the system causal $($justify your answer$)$

ii$)$ find and draw the output to the system if $x(t)=2u(t)$ that is find

$y(t)=x(t)**h(t)$

$h(t+1)=1-t^2$ in the interval $\{-1,1\}$

c$)$ The step response for a $L71$ spstem is giver as

$s(t)=5(1-e^{-1})u(t)$

Find the output of the systen for the input s$($r$)$ below

d$)$Given $x(t)$ and $h(t)$ as below, find and draw $v(t)$

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