Verify the Divergence Theorem if F = (x+z, z+y, x² − y) and S is the surface of the cube[−1, 1] × [−1, 1] × [−1, 1] oriented with outward pointing normal vectors.

and S is the surface of the cube.[-1,1][-1,1][-1,1]

Answered: Divergence Theorem

Math

Advanced Math

Divergence Theorem

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter8: Applications Of Trigonometry

Section8.4: The Dot Product

Problem 19E

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Question

Verify the Divergence Theorem if F = (x+z, z+y, x² − y) and S is the surface of the cube
[−1, 1] × [−1, 1] × [−1, 1] oriented with outward pointing normal vectors.

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