Let S be the surface defined by the vector function R(u, v) = (u cos v, u – v, u sin v) with u ER and v E [0, 27]. %3D a. Find the equation of the tangent plane to S where (u, v) = (2, E). b. Determine the area of the portion of S where 0

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
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Let S be the surface defined by the vector function R(u, v) = (u cos v, u – v, u sin v) with
u ER and v E (0, 27].
%3D
a. Find the equation of the tangent plane to S where (u, v) = (2, E).
b. Determine the area of the portion of S where 0<u<1 and 0<v< 4u.
Transcribed Image Text:Let S be the surface defined by the vector function R(u, v) = (u cos v, u – v, u sin v) with u ER and v E (0, 27]. %3D a. Find the equation of the tangent plane to S where (u, v) = (2, E). b. Determine the area of the portion of S where 0<u<1 and 0<v< 4u.
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