Given two signals: $x(t)=u(t-2)-u(t-3)$, and $y(t)=e^{-4 t} u(t)$.
If $z(t)=x(t) * y(t)$, then $Z(s)$ is $\_\_\_\_$.
- $\dfrac{e^{-3 s}\left[e^{s}-1\right]}{s(s+4)}$
- $\dfrac{e^{-s}\left[e^{-3 s}-1\right]}{(s+3)(s+4)}$
- $\dfrac{e^{-3 s}\left[1-e^{s}\right]}{(s+3)(s+4)}$
- $\dfrac{e^{-3 s}\left[1-e^{s}\right]}{s(s+4)}$
