The region W lies between the spheres x² + y² + z² = 4 and x² + y² + z² = 16 and within the cone z = √² + y² with z > 0: its boundary is the closed surface, S, oriented outward. Find the flux of F = x³i+y³j+z³k out of S. flux =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 68E
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The region W lies between the spheres ² + y² + z² = 4 and x² + y² + z² = 16 and within the cone z = √√x² + y² with > 0; its boundary is the closed surface, S, oriented outward. Find the flux of
F = x³i+y³j+z³k out of S.
flux =
Transcribed Image Text:The region W lies between the spheres ² + y² + z² = 4 and x² + y² + z² = 16 and within the cone z = √√x² + y² with > 0; its boundary is the closed surface, S, oriented outward. Find the flux of F = x³i+y³j+z³k out of S. flux =
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