Determine the function of time, x$($t$),$ for each of the following Laplace transforms and their associated regions of convergence: $($a$)$ s$2$~$9\text{'}(($b$)$ s$2$:$9,$ s$+$ I C $)($d$)($e$)($s$+1)2+9\text{'}$ s$+2$ s$2+7$s$+12\text{'}$ s$+$ I s$2+5$s$+6\text{'}(0$ s~~$\}$l$21\text{'}($g$)$ s$2-$s$+$l $($s$+1)2\text{'}($Jl$.$e$\{$s$\}>0$ CJk$\{$s$\}<0$ CRe$\{$s$\}<-1-4<$ CR$.$e$\{$s$\}<-3-3<$ CRe$\{$s$\}<-2($Re$\{$s$\}>4$ CRe$\{$s$\}>-1$