Evaluate f(V x F) dS where S is the surface x² + y² +3z² = 1, z ≤0 and F = (y, -x, zx³y²). Let the unit normal be upward pointing.

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 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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2. Evaluate (V x F) dS where S is the surface x² + y² + 3z² = 1, z ≤ 0 and F = = (y, -x, zx³y²). Let
the unit normal be upward pointing.
Transcribed Image Text:2. Evaluate (V x F) dS where S is the surface x² + y² + 3z² = 1, z ≤ 0 and F = = (y, -x, zx³y²). Let the unit normal be upward pointing.
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