Create and plot a signal x$0($t$)=$ te$-|$t$|$ using the following commands:

$>>$ t $=-10$:$0\mathrm{.}1$:$10$;

$>>$ xo $=$ t $.*$ exp$(-$abs$($t$))$;

$>>$ plot$($t$,$xo$)$

Create the related signals xe$($t$)=|$t$|$e$-|$t$|$ and x$($t$)=0\mathrm{.}5*[$x$0($t$)+$ xe$($t$)].$

What are x$0($t$)$ and xe$($t$),$ relative to x$($t$)?$

Plot all three signals together in one window.

Using the linspace$()$ command, determine how you would use it to define the variable t above.

Prove that your linspace$()$ answer works $($hint: in the linspace$()$ help, there is an equation that

tells you how the spacing is calculated$).$