xtended divergence theorem to compute the total flux of

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...
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Use the extended divergence theorem to compute the total flux of the vector field
F(x, y, z) = (−8x² + 3xz − y, 2y³ – 6y, 9x² + 4z² 3x)
outward from the region F that lies inside the sphere x² + y² + z² = 25 and outside the solid cylinder x² + y² = 4 with top at z = 1 and bottom at z = -1.
Transcribed Image Text:Use the extended divergence theorem to compute the total flux of the vector field F(x, y, z) = (−8x² + 3xz − y, 2y³ – 6y, 9x² + 4z² 3x) outward from the region F that lies inside the sphere x² + y² + z² = 25 and outside the solid cylinder x² + y² = 4 with top at z = 1 and bottom at z = -1.
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