A system with transfer function G(s) = (s2 + 9)(s + 2) is

A system with transfer function G(s) = (s² + 9)(s + 2) is excited by sin (ωt).
(s + 1)(s + 3)(s + 4)

The steady-state output of the system is zero at

\|G(s)\| =	(9 - ω²) √4 + ω²	= 0
	√ω² + 1√ω² + 9√16 + ω²

∴ ω² = 9
⇒ ω = 3 rad / sec

A system with transfer function G(s) =	(s² + 9)(s + 2)	is excited by sin (ωt).
	(s + 1)(s + 3)(s + 4)