Calculus: Early Transcendentals (2nd Edition)

2nd Edition

ISBN: 9780321947345

Author: William L. Briggs, Lyle Cochran, Bernard Gillett

Publisher: PEARSON

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Textbook Question

Chapter 14.3, Problem 37E

Line integrals of vector fields on closed curves Evaluate ∮ C F ⋅ d r for the following vector fields and closed oriented curves C by parameterizing C. If the integral is not zero, give an explanation.

37. F = 〈x, y, z〉; C: r(t) = 〈cos t, sin t, 2〉, for 0 ≤ t ≤ 2π

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Chapter 14.3, Problem 36E

Chapter 14.3, Problem 38E

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Chapter 14 Solutions

Calculus: Early Transcendentals (2nd Edition)

Ch. 14.1 - How is a vector field F = f, g, h used to describe...Ch. 14.1 - Sketch the vector field F = x, y.Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Interpret the gradient field of the temperature...Ch. 14.1 - Two-dimensional vector fields Sketch the following...Ch. 14.1 - Two-dimensional vector fields Sketch the following...Ch. 14.1 - Two-dimensional vector fields Sketch the following...Ch. 14.1 - Two-dimensional vector fields Sketch the following...Ch. 14.1 - Two-dimensional vector fields Sketch the following...

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Line integrals of vector fields on closed curves Evaluate ∮ C F ⋅ d r for the following vector fields and closed oriented curves C by parameterizing C. If the integral is not zero, give an explanation. 37. F = 〈 x , y , z 〉; C : r ( t ) = 〈cos t , sin t , 2〉, for 0 ≤ t ≤ 2 π

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