the continuous-time system $h_2$, has the frequency respons $ h_2(j \omega)=\frac{3 \pi}{(j \omega+1)^2+9 \pi^2} $

assuming all initial states are zero, determine the response (to at least 4 significant figures) of $\mathrm{h}_2$ to the inputs
i. $x_a(t)=2 \mathrm{e}⁻² j t}$
ii. $x_b(t)=\cos (9.4 t+\pi / 2)$
iii. $x_c(t)=1+\sin (10 t)+3 \cos (8 t)$