Answered: Find parametric equations for the…

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustrate by graphing both the curve and the tangent line on a common screen.

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.CR: Chapter Review

Problem 9CC

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Question

28) Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustrate by graphing both the curve and the tangent line on a common screen.

A 27-29 Find parametric equations for the tangent line to the curve
with the given parametric equations at the specified point. Illus-
trate by graphing both the curve and the tangent line on a common
screen.
27. x = t, y = e, z = 2t – t²; (0, 1, 0)
(28.x = 2 cos t, y = 2 sin t, z = 4 cos 2t; (V3, 1, 2)
29. x = t cos t, y = t, z = t sin t; (-m, 7, 0)

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