A system has the following transfer function:

$()=10$

$(+2)(+4)$

a$)$ Find the impulse response h$($t$)$ of the system. $(10$ points$)$

b$)$ Determine the output y$($t$)$ using the convolution integral, given that the input is x$($t$)=$

u$($t$-5).(5$ points$)$

c$)$ Determine the output y$($t$)$ using the Laplace Transform, given that the input is x$($t$)=$

u$($t$-5).(5$ points$)$