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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section: Chapter Questions

Problem 17T

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Problem II We consider a parametrization of a regular surface S, given by
X (u, v) -(υ + 2υ, 2uv, 2u - υ) , (u, υ) ε U,
where U = R².
Question 1
Let p = (6, 8, 2). A parametrization for the tangent plane to S at p is given by
a) Tp(u, v) = (6 +u+ v, 8+4u+ v, 2 + u – v).
b) Tp(u, v) = (6 +u + 2v, 8 + 4u + 4v, 2 + 2u – v).
%3D
c) Tp(u, v) = (6+3u+3v, 8+ 4u + 8v, 2 + 3u – v).
d) None of the above.

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