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Let F(x, y, z) = 4z²ei+ (y³ + tan(z))j+ (4x²z – 3y²)k. Use the Divergence Theorem to evaluate f, F . dS where |

Let F(x, y, z) = 4z²ei+ (y³ + tan(z))j+ (4x²z – 3y²)k. Use the Divergence Theorem to evaluate f, F . dS where |

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 44E
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Question
Let F(x, y, z) 4z2xi + (y³ + tan(z))j + (4x²z – 3y²)k. Use the Divergence Theorem to evaluate f, F. dS where S is the top half of the = 1 oriented upwards. sphere x? + y² + z² S Ss F · dS
Transcribed Image Text:Let F(x, y, z) 4z2xi + (y³ + tan(z))j + (4x²z – 3y²)k. Use the Divergence Theorem to evaluate f, F. dS where S is the top half of the = 1 oriented upwards. sphere x? + y² + z² S Ss F · dS
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