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(a). Evaluate ff Fn dS, where F(x, y, z) = (xy, yz, xz), and S is the surface of the cube bounded by x = 1, x = 2, y = 1, y = 2, z = 1, and z = 2. (b). Evaluate div F dV where E is the solid region of the same cube.

(a). Evaluate ff Fn dS, where F(x, y, z) = (xy, yz, xz), and S is the surface of the cube bounded by x = 1, x = 2, y = 1, y = 2, z = 1, and z = 2. (b). Evaluate div F dV where E is the solid region of the same cube.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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Verify the Gauss Divergence Theorem for the following vector field (image attached)

 

(a). Evaluate ff Fn dS, where F(x, y, z) = (xy, yz, xz), and S is the surface of the cube bounded by x = 1, x = 2, y = 1, y = 2, z = 1, and z = 2. (b). Evaluate div F dV where E is the solid region of the same cube.
Transcribed Image Text:(a). Evaluate ff Fn dS, where F(x, y, z) = (xy, yz, xz), and S is the surface of the cube bounded by x = 1, x = 2, y = 1, y = 2, z = 1, and z = 2. (b). Evaluate div F dV where E is the solid region of the same cube.
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