Exercise $1)$ Answer the short questions below $($all questions are from past midterms$)$

$1$A$)$ When a given linear system is subjected to the input $g_1(t)$ shown on the left, it generates the

output described by $h_1(t).$ If the same system is given the input $g_2(t),$ sketch its expected output, i$.$e$.,$

$h_2(t),$ in the graph below. Indicate the approximate magnitude of $h_2(t)$ at $t=t_1,t=1,$ and $t=1+t_1.$

$1$B In the graph below, $h(t)$ is the unit impulse response of a given system. If the system is subjected

to the input described by $g(t),$ sketch the temporal response of the system, that is:

$q(t)={\displaystyle \underset{0}{\overset{t}{}}}h()g(t-)d$

$h$

$1$C $-$ Explain your reasoning in $1$A and $1$B$.$ Which assumptions and fundamental principles of linear

systems did you use to determine the temporal response?