$Q_2^{-}$

a$)$ Find the Laplace transform and the associated ROC for each of the following signals:

$x(t)=e^{2t}u(-t+2)$

$x(t)=sin(3t)u(t)$

b$)$ Find the inverse Laplace transform of

$x(s)=\frac{2s+4}{s^2+4s+3},Re(s)>-1$