Problem $4(15$pt$).$ Consider the continuous$-$time signal

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

Calculate the value of energy for the following signal

$y(t)={\displaystyle \underset{-}{\overset{t}{}}}x()d.$Problem $1(10$pt$).$ Determine whether each function $x(t)$ given below is even, odd, or neither even

nor odd.

$x(t)=t^3|t|$

and

$x(t)=e^{j2t}$Problem $2(15$pt$).$ Determine if each function $x(t)$ given below is periodic, and if it is$,$ find its

fundamental period.

$x(t)=e^{j2t}+e^{j3t}$

and

$x(t)=|sin(t)|$Problem $3(25$pt$).$ Given the function $x(t)$ shown in the figure below, plot and label each of the following functions:

$($a$)x(t-1)$;

$x(t)$

$($b$)x(2t)$;

$($c$)x(-t)$;

$($d$)x(2t+1)$; and

$($e$)\frac{1}{4}x(-\frac{1}{2}t+1)-\frac{1}{2}.$