Explanation Given: F → = 〈 y z , x z , x y 〉 , that part of the cone x 2 + y 2 = 1 that lie below the two plane z = 1 and z = 4 with upward-pointing unit normal vector . Formula used: Stokes’ theorem is given by- ∮ c F → . d r → = ∬ s ( ∇ → × F → ) . d s → Where, d r → is the length element on the closed curve c d s → is the surface normal to the surface s enclosed by curve c From the given data we know that F → = 〈 y z , x z , x y 〉 , that part of the cone x 2 + y 2 = 1 that lie below the two plane z = 1 and z = 4 with upward-pointing unit normal vector. Curl F → = ∇ → × F → = | i ^ j ^ k ^ ∂ ∂ x ∂ ∂ y ∂ ∂

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Author: Rogawski

Publisher: MAC HIGHER

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Chapter 18.2, Problem 9E

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The curl $(F)$ and compute the flux of curl $(F)$ through the given surface using line integral applying Stokes’ Theorem.

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Chapter 18.2, Problem 8E

Chapter 18.2, Problem 10E

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Chapter 18 Solutions

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The curl ( F ) and compute the flux of curl ( F ) through the given surface using line integral applying Stokes’ Theorem.

Solution Summary: The author calculates the flux of curl (F) through the given surface using line integral applying Stokes’ Theorem.

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The curl $(F)$ and compute the flux of curl $(F)$ through the given surface using line integral applying Stokes’ Theorem.

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Chapter 18 Solutions

The curl ( F ) and compute the flux of curl ( F ) through the given surface using line integral applying Stokes’ Theorem.

Solution Summary: The author calculates the flux of curl (F) through the given surface using line integral applying Stokes’ Theorem.

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The curl (F) and compute the flux of curl (F) through the given surface using line integral applying Stokes’ Theorem.

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Chapter 18 Solutions

The curl $(F)$ and compute the flux of curl $(F)$ through the given surface using line integral applying Stokes’ Theorem.