Question: Show that the system with closed-loop transfer function [ mathrm{T}(s)=frac{20}{(s+2)^{2}left(s^{2}+5 s+12ight)} ] has relative stability of at least 2 units.

Show that the system with closed-loop transfer function

\[
\mathrm{T}(s)=\frac{20}{(s+2)^{2}\left(s^{2}+5 s+12ight)}
\]

has relative stability of at least 2 units.

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