The figure shows a particle moving along a path modeled by r(t) = cos t + t

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The figure shows a particle moving along a path modeled by


r(t) = 〈cos πt + πt sin πt, sin πt - πt cos πt〉.


The figure also shows the vectors v(t) and a(t) for t = 1 and t = 2.(a) Find aT and aN at t = 1 and t = 2.(b) Determine whether the speed of the particle is increasing or decreasing at each of the indicated values of t. Give reasons for your answers.


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Calculus Of A Single Variable

ISBN: 9781337275361

11th Edition

Authors: Ron Larson, Bruce H. Edwards

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