$9\mathrm{.}22.$ Determine the function of time, x$($t$),$ for each of the following Laplace transforms

and their associated regions of convergence:

$($a$)$ s$2$~$9\text{'}$

$($Jl$.$e$\{$s$\}>0$

$($b$)$ s$2$:$9,$

CJk$\{$s$\}<0$

$()$

s$+$ I

C

$($s$+1)2+9\text{'}$

$($d$)$

s$+2$

s$2+7$s$+12\text{'}$

$($e$)$

s$+$ I

s$2+5$s$+6\text{'}$

$(0$ s~~$\}$l

$2$

$1\text{'}$

$($g$)$ s$2-$s$+$l

$($s$+1)2\text{'}$

CRe$\{$s$\}<-1$

$-4<$ CR$.$e$\{$s$\}<-3$

$-3<$ CRe$\{$s$\}<-2$

$($Re$\{$s$\}>4$

CRe$\{$s$\}>-1$