Q$1$

$[25$ POINTS$]$

Given the T$.$F$.$ below and $x(t)=$ unit step, answer the following,

$\frac{Y(s)}{x(s)}=\frac{(2s^2+6s+8)}{(s+2)(s+3)(s+4)}$

A$-1)$ What is the order of the system?

A$-2)$ Find $y(t)?$

A$-3)$ Calculate $y()$ from $y(t)?$

A$-4)$ Calculate $y{(}^{})$ using the final value theorem?

A$-5)$ Calculate $y(0)$ from $y(t)?$

A$-6)$ Calculate $y(0)$ using the initial value theorem?