Use the Divergence Theorem to evaluate S F ? dS, where and S is the top half

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Use the Divergence Theorem to evaluate S F ? dS, where

and S is the top half of the sphere x ² + y ² + z ² = 9. (Hint: Note that S is not a closed surface. First compute integrals over S ₁ and S ₁, where S1 is the disk x ² + y ² ? 9, oriented downward, and S ₂ = S ₁ ? S.)

Related Book For answer-question

Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

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Posted Date: Dec 17, 2018 12:58 AM

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Use the Divergence Theorem to evaluate S F ? dS, where and S is the top half

Question:

F(x, y, z) = z²xi + (H² + sinz) 3 -+sinz|j+(x²z+y²)k F(x, y, z) = z²xi + (H² + sinz) 3 -+sinz|j+(x²z+y²)k

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Consider the following vector field Then the diverge... View the full answer

Calculus Early Transcendentals

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