Use Matlab to implement the following :

$1$ :

Make stem plots of the following signals. Decide for yourself what the range of $n$ should be$.$

$f(n)=u(n)-u(n-4)$

$g(n)=r(n)-2r(n-5)+r(n-10)$ where $r(n)$:$=$

$u(n)$

$x(n)=(n)-2(n-4)$

$y(n)=(0\mathrm{.}9{)}^n(u(n)-u(n-20))$

$v(n)=cos(0\mathrm{.}12n)u(n)$

$2$:

Determine whether the following signals are energy signals, power signal, or neither.

$($a$)x[n]=(-0\mathrm{.}5{)}^{n}u[n]$

$($b$)x[n]=2e^{j3n}$

$($c$)x[n]=n^{2}u[n]$

$($d$)x[n]=-[n]+2[n-1]-2[n-3]$

$3$:

A discrete$-$time signal $x(n)$ is shown in the figure. Sketch and label each of the following signals:

$($a$)x[n-2]$

$($b$)x[2n]$

$($c$)x[-n]$

$($d$)x[-n+2]$

$($e$)x[n][n-1]$

$($f$)x[n]\{u[n+2]-u[n]\}$

You have to show the Matlab code and the necessary resulted graphs