c) (10 pts) Your boss, impressed by your quick response and ability to think on your feet, hands you the following equation for the response of a harmonically excited linear vibration system and asks you to quickly identify i) the natural frequency of the system (assuming small \(\zeta\)), ii) the forcing frequency of this system, and iii) the damping ratio of the system. Can you do it from the equation provided? If so, clearly identify each value, if not explain what other information would be required.
x(t) = 5e^{-0.4t}sin8t + 10cos(4t-1.24)
Deliverables: Handwritten work is all that is needed for this one.