Explanation Given: F = < x + z 2 , x z + y 2 , z x − y > and S is the surface that bounds the solid region with boundary given by the parabolic cylinder z = 1 − x 2 and the planes z = 0 , y = 0 a n d z + y = 5 Formula used: Flux = ∬ s F d s = ∭ ∨ ( d i v F ) d v Calculation: F = < x + z 2 , x z + y 2 , z x − y > d i v ( F ) = ∂ ∂ x ( x + z 2 ) + ∂ ∂ y ( x z + y 2 ) + ∂ ∂ z ( x z − y 2 ) = 1 + 2 y + x Now using above formula- ∬ s F d s = ∭ ∨ ( d i v F ) d v = ∫ − 1 1 ∫ 0 1 − x 2 ∫ 0 5 − z ( 1 + 2 y + x ) d y dz dx = ∫ − 1 1 &...

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Author: Rogawski

Publisher: MAC HIGHER

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Chapter 18.3, Problem 9E

To determine

The flux for function in the given region using, divergence theorem.

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Chapter 18.3, Problem 8E

Chapter 18.3, Problem 10E

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Chapter 18 Solutions

CALCULUS W/SAPLING ACCESS >IC<

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The flux for function in the given region using, divergence theorem.

Solution Summary: The author explains how to determine the flux for a given function in the given region using the divergence theorem.

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Chapter 18 Solutions