Let F = = (x, y, z) (x² + y² + z²)3/2 Use the fact that V F = 0 when (x, y, z) following surfaces. (0,0,0) to find the flux of F through the The square with corners (1, 1, 1), (1, −1, 1), (−1, 1, 1), and (-1, -1, 1), oriented upward. Hint: Use the fact that this is a face of a cube centered at the origin.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 27E
Question
Let
F =
=
(x, y, z)
(x² + y² + z²)3/2
Use the fact that V F = 0 when (x, y, z)
following surfaces.
(0,0,0) to find the flux of F through the
The square with corners (1, 1, 1), (1, −1, 1), (−1, 1, 1), and (-1, -1, 1), oriented
upward. Hint: Use the fact that this is a face of a cube centered at the origin.
Transcribed Image Text:Let F = = (x, y, z) (x² + y² + z²)3/2 Use the fact that V F = 0 when (x, y, z) following surfaces. (0,0,0) to find the flux of F through the The square with corners (1, 1, 1), (1, −1, 1), (−1, 1, 1), and (-1, -1, 1), oriented upward. Hint: Use the fact that this is a face of a cube centered at the origin.
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