Evaluate F dS, S where 4 F(x, y, z) = (3y, -2x, -), and S is the surface that is composed of the part of the surface z = 2x2 + 3y? + 1 lying inside x² + y? = 1.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 40E: For the sphers x-12+y+22+z-42=36 and x2+y2+z2=64, find the ratio of their a surface areas. b...
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Evaluate
F- dš,
where
4
F(x, y, z) = (3y, -2x, -),
IT
and S is the surface that is composed of the part of the surface
z = 2x2 + 3y² + 1
lying inside
x² +y? = 1.
Transcribed Image Text:Evaluate F- dš, where 4 F(x, y, z) = (3y, -2x, -), IT and S is the surface that is composed of the part of the surface z = 2x2 + 3y² + 1 lying inside x² +y? = 1.
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