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6. Let F = xyi + yzj + zrk be a vector field. Use Stokes' Theorem to evaluate f. F. dĩ where C is the closed triangle given by the boundary of the portion of the plane x + y + z = 1 in the first octant oriented counterclockwise as you look in from the first octant toward the origin. Answer: -1/2.

6. Let F = xyi + yzj + zrk be a vector field. Use Stokes' Theorem to evaluate f. F. dĩ where C is the closed triangle given by the boundary of the portion of the plane x + y + z = 1 in the first octant oriented counterclockwise as you look in from the first octant toward the origin. Answer: -1/2.

Advanced Engineering Mathematics
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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Please see attached multivariable calculus problem.

6. Let F = xyi + yzj + zrk be a vector field. Use Stokes' Theorem to evaluate f. F. dĩ where C is the closed triangle given by the boundary of the portion of the plane x + y + z = 1 in the first octant oriented counterclockwise as you look in from the first octant toward the origin. Answer: -1/2.
Transcribed Image Text:6. Let F = xyi + yzj + zrk be a vector field. Use Stokes' Theorem to evaluate f. F. dĩ where C is the closed triangle given by the boundary of the portion of the plane x + y + z = 1 in the first octant oriented counterclockwise as you look in from the first octant toward the origin. Answer: -1/2.
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