3. Let S be the surface defined by the vector function R(u, v) = (2e" sinv, 2e" cosv, u²+u), where u R 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
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
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3.
Let S be the surface defined by the vector function
R(u, v)
(2e" sinv, 2e" cos v, u²+u),
Find an equation of the tangent plane to S at the
=
where u R and v € [0.27].
point (1,√3.0).
3
Transcribed Image Text:3. Let S be the surface defined by the vector function R(u, v) (2e" sinv, 2e" cos v, u²+u), Find an equation of the tangent plane to S at the = where u R and v € [0.27]. point (1,√3.0). 3
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