$($i$)$ Without using the Routh$-$Hurwitz criterion, determine if $M(s)=\frac{100(s-1)}{(s+5)(s^2+2s+2)}$ is asymptotically stable, marginally stable, or unstable.

$($ii$)$ Using the Routh$-$Hurwitz criterion, determine the stability of the closed$-$loop system that has the following characteristic equations. Determine the number of roots of each equation that are in the right$-$half s$-$plane and on the $j-$axis.

$($a$)s^3+25s^2+250s+10=0$

$($b$)s^6+2s^5+8s^4+15s^3+20s^2+16s+16=0$

$***********$ Please do $($ii$)************$