Calculate Tu, T, and n(u, v) for the parametrized surface at the given point. Then find the equation of the tangent plane to the surface at that point. (2u+v, u - 4v, 4u); u=8, v=7 T, = n(u, v) = 0 (u, v) Tu = = The tangent plane: =9z

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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Calculate Tu, T, and n(u, v) for the parametrized surface at the given point.
Then find the equation of the tangent plane to the surface at that point.
u=8, v=7
(u, v)
Tu
=
=
(2u+v, u - 4v, 4u);
T₂
= n(u, v) = 0
The tangent plane:
=92
Transcribed Image Text:Calculate Tu, T, and n(u, v) for the parametrized surface at the given point. Then find the equation of the tangent plane to the surface at that point. u=8, v=7 (u, v) Tu = = (2u+v, u - 4v, 4u); T₂ = n(u, v) = 0 The tangent plane: =92
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