(c) Determine the flux of the vector field F = x³i – 2yĵ + 7z²k across a cone z = x2 + y2 + 3 that lies in between the planes z = 4 and z = 8 by using Gauss's theorem.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
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(c) Determine the flux of the vector field F = x³i – 2yĵ + 7z²k across a cone
z = x2 + y2 + 3 that lies in between the planes z = 4 and z =
8 by using Gauss's
theorem.
Transcribed Image Text:(c) Determine the flux of the vector field F = x³i – 2yĵ + 7z²k across a cone z = x2 + y2 + 3 that lies in between the planes z = 4 and z = 8 by using Gauss's theorem.
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