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Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.3: Orthonormal Bases:gram-schmidt Process

Problem 71E

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the correct answer is A

could you show me how to solve this using gauss theorem of divergence

The outward flux of the vector field F(x, y, z) = (5x-3y, 2x − 5y, x² + y² + 3z)
across the boundary of N = {(x, y, z) = R³: x² + y² ≤ 1, x ≤ 0, 0 ≤ z <7+ xy},
equals
(A)
21π
2
(B) 21π
(C) -7π
(D) 2√7

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