Let S be the surface defined by the vector function R(u, v) = (2e" sin v, 2e" cos v, u²+u), where u ER and v € [0,27]. Find an equation of the tangent plane to S at the point (1, √3,0).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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Let S be the surface defined by the vector function
R(u, v) = (2e" sin v, 2e" cos v, u²+u),
where u ER and v € [0,27]. Find an equation of the tangent plane to S at the
point (1, √3,0).
Transcribed Image Text:Let S be the surface defined by the vector function R(u, v) = (2e" sin v, 2e" cos v, u²+u), where u ER and v € [0,27]. Find an equation of the tangent plane to S at the point (1, √3,0).
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