3) State Gauss's divergence theorem and verify for the vector field F(x, y, z) = xyz + xj + (y − 4z)k. over the cylinder x² + y² = 4,0 ≤ z ≤ 6.

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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3) State Gauss's divergence theorem and verify for the vector field
F(x, y, z) = xyz i+x+(y-42)k.
over the cylinder x² + y² = 4,0 ≤ z ≤ 6.
Transcribed Image Text:3) State Gauss's divergence theorem and verify for the vector field F(x, y, z) = xyz i+x+(y-42)k. over the cylinder x² + y² = 4,0 ≤ z ≤ 6.
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