$(5$ pts$)$ Complete steps $($a$)$ and $($b$)$ below:

$($a$)$ Using a Laplace table, find $F(s)$ if $f(t)=t{e}^{-at}{u}_{-1}(t),a>0$

$($b$)$ Using the MATLAB "laplace" command transform the above equation from the time to

the complex$-$frequency domain and transform back to time domain using "ilaplace"

command to show the table answer is correct. $($suggest using "pretty" command to make

answer more presentable in MATLAB$)$