Use the Divergence Theorem to compute the net outward flux of the following field across the given surface S. F= ==(7y³ - 3x,5x³-4y, - 2y-4z) S is the sphere {(x,y,z): x² + y² + z² = 4}. The net outward flux across the surface is. (Type an exact answer, using * as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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Use the Divergence Theorem to compute the net outward flux of the following field across the given surface S.
F=
== (7y³ - 3x,5x³-4y, - 2y - 4z)
S is the sphere {(x,y,z): x² + y² + z² = 4}.
The net outward flux across the surface is.
(Type an exact answer, using * as needed.)
...
Transcribed Image Text:Use the Divergence Theorem to compute the net outward flux of the following field across the given surface S. F= == (7y³ - 3x,5x³-4y, - 2y - 4z) S is the sphere {(x,y,z): x² + y² + z² = 4}. The net outward flux across the surface is. (Type an exact answer, using * as needed.) ...
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