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Suppose F = (6y, -2z, 6x) and S is that portion of the plane x + 2y + 3z = 1 that is the first octant of space, oriented counterclockwise as viewed from above. Find the flux of curl(F) across S and then evaluate the circulation feF. dr, where Cis the boundary of S.

Suppose F = (6y, -2z, 6x) and S is that portion of the plane x + 2y + 3z = 1 that is the first octant of space, oriented counterclockwise as viewed from above. Find the flux of curl(F) across S and then evaluate the circulation feF. dr, where Cis the boundary of S.

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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Suppose F = (6y, -2z, 6x) and S is that portion of the plane x + 2y + 3z = 1 that is the first octant of space, oriented counterclockwise as viewed from above. Find the flux of curl(F) across S and then evaluate the circulation f F dr, where C is the boundary of S. (Give an exact answer. Use symbolic notation and fractions where needed.) Ja curl(F). dS = fr . dr =
Transcribed Image Text:Suppose F = (6y, -2z, 6x) and S is that portion of the plane x + 2y + 3z = 1 that is the first octant of space, oriented counterclockwise as viewed from above. Find the flux of curl(F) across S and then evaluate the circulation f F dr, where C is the boundary of S. (Give an exact answer. Use symbolic notation and fractions where needed.) Ja curl(F). dS = fr . dr =
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