Answer $6\mathrm{.}9$ make sure to derive a state diagram and circuit. $$Please do the solution by pen$/$pencil and paper. Because last time I sent this question to an expert I got a solution that I couldn't read because it appeared like the following:

"The input$-$output relationship is:

$\backslash [$

y$($t$)=\backslash$int$\_\{$t$-$T$\}^$t $($t$-\backslash$tau$)^2$x$(\backslash$tau$)\backslash ,$d$\backslash$tau

$\backslash ]$

The impulse response $\backslash ($h$($t$)\backslash )$is the output when $\backslash ($x$($t$)=\backslash$delta$($t$)\backslash ).$Substitute $\backslash ($x$($t$)=\backslash$delta$($t$)\backslash )$:

$\backslash ["$