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).
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).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03153627-dcb6-42d3-b8d8-62f1b562b5ef%2Fcb21e3f8-f1ba-49cf-bdf7-25dfbbaff2be%2Fosni6yq_processed.png&w=3840&q=75)
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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