Find the divergence of the field. F = 6ze5xyzi + 6ze5xyzj + 6ye5xyzk div F =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.7: Operations On Functions
Problem 58E
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Use the divergence theorem to find the outward flux of F across the boundary of the region D.
F = (3y - 4x)i + (5z - 5y)j + (y - 5x)k
D: The cube bounded by the planes x = ± 1, y = ± 1, and z = ± 1
The outward flux is
(Type an exact answer.)
Transcribed Image Text:Use the divergence theorem to find the outward flux of F across the boundary of the region D. F = (3y - 4x)i + (5z - 5y)j + (y - 5x)k D: The cube bounded by the planes x = ± 1, y = ± 1, and z = ± 1 The outward flux is (Type an exact answer.)
Find the divergence of the field.
F = 6ze5xyzi + 6ze5xyzj + 6ye5xyzk
div F =
Transcribed Image Text:Find the divergence of the field. F = 6ze5xyzi + 6ze5xyzj + 6ye5xyzk div F =
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