Explanation Given: The scalar function is F = 〈 y + 2 x , 2 x + 5 z , 7 y + 8 x 〉 . C is the circle of radius 5 unit with center (2,0,0). Calculation: The curl of the scalar field is calculated as follows: ∇ × F = | i j k ∂ ∂ x ∂ ∂ y ∂ ∂ z y + 2 x 2 x + 5 z 7 y + 8 x | ∇ × F = i ( 7 − 5 ) − j ( 8 − 0 ) + k ( 2 − 1 ) ∇ × F = 2 i − 8 j + k Here, normal unit vector is -2i as center is at (2,0,0) and rotate counterclockwise

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Author: FRANZOSA

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Chapter 17.2, Problem 14E

To determine

The ∮CF⋅dr by using Stokes theorem.

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Chapter 17.2, Problem 13E

Chapter 17.2, Problem 15E

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Chapter 17 Solutions

EBK CALCULUS: EARLY TRANSCENDENTALS

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The ∮ C F ⋅ d r by using Stokes theorem.

Solution Summary: The author calculates the value of the scalar function by using Stokes' theorem, which is -200pi.

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The ∮CF⋅dr by using Stokes theorem.

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Chapter 17 Solutions