Explanation Given: The vector field F = 〈 z , x , y + 2 z 〉 . The diagram: Calculation: Stokes’ theorem says, ∮ C F → · d R → = ∬ S ( c u r l F → · N ^ ) d S The left hand side of above equation is basically the circulation of the field F around the boundary C . Now, c u r l F → = det ( i ^ j ^ k ^ ∂ ∂ x ∂ ∂ y ∂ ∂ z z x y + 2 z ) =

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ISBN: 9781319050733

Author: Rogawski

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Chapter 18.2, Problem 18E

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Circulation of $F = 〈 z, x, y + 2 z 〉$ around the boundary of S in counterclockwise direction when viewed from above using Stokes Theorem.

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Chapter 18.2, Problem 17E

Chapter 18.2, Problem 19E

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Circulation of F = 〈 z , x , y + 2 z 〉 around the boundary of S in counterclockwise direction when viewed from above using Stokes Theorem.

Solution Summary: The author explains how Stokes' theorem determines the circulation of the field F around the boundary of S in counterclockwise direction.

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Circulation of $F = 〈 z, x, y + 2 z 〉$ around the boundary of S in counterclockwise direction when viewed from above using Stokes Theorem.

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Chapter 18 Solutions

Circulation of F = 〈 z , x , y + 2 z 〉 around the boundary of S in counterclockwise direction when viewed from above using Stokes Theorem.

Solution Summary: The author explains how Stokes' theorem determines the circulation of the field F around the boundary of S in counterclockwise direction.

Videos

Circulation of F=〈z,x,y+2z〉 around the boundary of S in counterclockwise direction when viewed from above using Stokes Theorem.

Want to see the full answer?

Chapter 18 Solutions

Circulation of $F = 〈 z, x, y + 2 z 〉$ around the boundary of S in counterclockwise direction when viewed from above using Stokes Theorem.