The position function of a particle moving along the x-axis is x(t) = Ae kt + Be

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The position function of a particle moving along the x-axis is x(t) = Ae^kt + Be^-kt, where A, B,
and k are positive constants.

(a) During what times is the particle closest to the origin?

(b) Show that the acceleration of the particle is proportional to the position of the particle. What is the constant of proportionality?

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Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

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Question Posted: Feb 25, 2023 09:51 PM

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The position function of a particle moving along the x-axis is x(t) = Ae kt + Be

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Calculus

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