Use Stokes' Theorem to evaluate F.dr where F = (x + 72)i + (5x + y)j + (9y − z)k and C is the curve of intersection of the plane x + 3y +z = 6 with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.)
Use Stokes' Theorem to evaluate F.dr where F = (x + 72)i + (5x + y)j + (9y − z)k and C is the curve of intersection of the plane x + 3y +z = 6 with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Problem #1:
Use Stokes' Theorem to evaluate
F.dr where
F = (x + 7z)i + (5x + y)j + (9y −z)k and C is the
curve of intersection of the plane x + 3y +z = 6 with the
coordinate planes.
(Assume that C is oriented counterclockwise as viewed
from above.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ad229d2-94c2-4360-b0ca-273c76ee826c%2F580f8ebf-2787-415b-875f-2b46377fd180%2F470itr5_processed.png&w=3840&q=75)
Transcribed Image Text:Problem #1:
Use Stokes' Theorem to evaluate
F.dr where
F = (x + 7z)i + (5x + y)j + (9y −z)k and C is the
curve of intersection of the plane x + 3y +z = 6 with the
coordinate planes.
(Assume that C is oriented counterclockwise as viewed
from above.)
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