Problem #7: When a 3 kg mass is attached to a spring whose constant is 108 N/m, it comes to rest in the equilibrium position. Starting at $t = 0$, a force equal to $f(t) = 12e^{-7t} \cos 5t$ is applied to the system. In the absence of damping,
(a) find the position of the mass when $t = \pi$.
(b) what is the amplitude of vibrations after a very long time?
Round your answer to 4 decimals.
Round your answer to 4 decimals.