Use the Divergence Theorem to evaluate F. ÑdS where F(x, y, z)=x²i +2y²j+z²k S and the surface S is bounded by x=0, x= 1, y = 0, y = 1, z = 0, z=1.

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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Use the Divergence Theorem to evaluate F. ÑdS where F(x, y, z)=x²i +2y²j+z²k
S
and the surface S is bounded by x=0, x= 1, y = 0, y = 1, z = 0, z = 1.
Transcribed Image Text:Use the Divergence Theorem to evaluate F. ÑdS where F(x, y, z)=x²i +2y²j+z²k S and the surface S is bounded by x=0, x= 1, y = 0, y = 1, z = 0, z = 1.
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