When a 5 kg mass is attached to a spring whose constant is 80 N/m, it comes to rest in the equilibrium position. Starting at t=0, a force equal to f(t) = 35e-5t cos 7t is applied to the system. In the absence of damping, (a) find the position of the mass when t = π. (b) what is the amplitude of vibrations after a very long time?

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