Use the divergence theorem to find the outward flux of F across the boundary of the region D. F=x²1-2xyj+7xzk D: The region cut from the first octant by the sphere x² + y² + z² = 25

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 36E
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Use the divergence theorem to find the outward flux of F across the boundary of the region
D.
F=x²1-2xyj+7xzk
D: The region cut from the first octant by the sphere x² -
The outward flux is
(Type an exact answer, using as needed.)
2
+y²+z²=
= 25
Transcribed Image Text:Use the divergence theorem to find the outward flux of F across the boundary of the region D. F=x²1-2xyj+7xzk D: The region cut from the first octant by the sphere x² - The outward flux is (Type an exact answer, using as needed.) 2 +y²+z²= = 25
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