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An Initial Amplitude K, Damping Constant C, and Period P y=ke−ctsin⁡ωty = k e ^ { - c t } \sin \omega t

Question 94

Essay

An initial amplitude k, damping constant c, and period p are given.
a.) Find a function of the form y=ke−ctsin⁡ωty = k e ^ { - c t } \sin \omega t that models damped harmonic motion.
b.) Graph the function. k=100,c=0.5,p=π12k = 100 , c = 0.5 , p = \frac { \pi } { 12 }

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