Evaluate the line integral C F dr by evaluating the surface integral in Stokes Theorem

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Evaluate the line integral ∮_C F • dr by evaluating the surface integral in Stokes’ Theorem with an appropriate choice of S. Assume that C has a counterclockwise orientation.

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Calculus For Scientists And Engineers Early Transcendentals

ISBN: 9780321849212

1st Edition

Authors: William L Briggs, Bernard Gillett, Bill L Briggs, Lyle Cochran

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Question Posted: May 24, 2023 03:02 AM

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Evaluate the line integral C F dr by evaluating the surface integral in Stokes Theorem

Question:

F = (2xy sin z, x² sin z, x² y cos z); C is the boundary of the plane z = 8 - 2x - 4y in the first octant.

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ANSWER To evaluate the line integral C F dr using Stokes Theorem we need to find an appropriate surface S whose boundary is C The given curve C is the boundary of the plane z 8 2x 4y in the first octa...View the full answer

Calculus For Scientists And Engineers Early Transcendentals

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