3y²)k. Use the Divergence Theorem to evaluate SF. dS where Sis
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 33E
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![Let F(x, y, z) = 1z²xi + ( 3 y³ + tan(z))j + (1x²z − 3y²)k. Use the Divergence Theorem to evaluate SF. ds where S is the top half of the sphere
x² + y² +2²=1 oriented upwards.
SSF. ds =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e87940a-4964-4b75-8957-b270f7cb8a14%2F5da39a40-0a21-4694-89f8-c8e7bc2a84f3%2Fwu6iv6d_processed.png&w=3840&q=75)
Transcribed Image Text:Let F(x, y, z) = 1z²xi + ( 3 y³ + tan(z))j + (1x²z − 3y²)k. Use the Divergence Theorem to evaluate SF. ds where S is the top half of the sphere
x² + y² +2²=1 oriented upwards.
SSF. ds =
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