For the transfer function given below:

a$)$ Examine the stability. $10$p

b$)$ Find the initial value for $u_{in}(t)=5u(t)*10p$

c$)$ Find the final value when $u_{in}(t)$ is a unit$-$impulse function. $10p$

$G(s)=\frac{3s^4+21s^2+10s+30}{s^5+21s^4+170s^3+650s^2+1125s+625}$