2. If r(t) = ti + cos(t)j + sin(t)k, evaluate(a) [ r(t).(b) r' (t)dt,(c) the parametric equations of the tangent line at t =(d) an equation for the tangent plane at t = . The plane I want is theosculating plane.

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Answered: 2. If r(t) = ti + cos(t)j + sin(t)k,…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Polar Coordinates And Parametric Equations

Section8.CT: Chapter Test

Problem 8CT

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2. If r(t) = ti + cos(t)j + sin(t)k, evaluate (a) frit r(t) dt, (b) r' (t) (c) the parametric equations of the tangent line at t =