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Sketch the parametric curve of r(t) =< 2cost,2sin t,3 >.Then, find and draw the tangent vector r'(0)

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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Question

Sketch the parametric curve of r(t) =< 2cost,2sin t,3 >.Then, find and draw the
tangent vector r'(0).

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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Given a parametric curve.

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We being with the sketching the curve.

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Now, we find and sketch the tangent vector r'(0).

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