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Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x=4et,y=te2t,z=tet^2;(4,0,0) Solve x(t), y(t), z(t)

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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Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point.

x=4e^t,y=te^2t,z=te^{t^2};(4,0,0)

Solve x(t), y(t), z(t)

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