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.

Trigonometry (MindTap Course List)
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ISBN:9781337278461
Author:Ron Larson
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Chapter2: Analytic Trigonometry
Section2.3: Solving Trigonometric Equations
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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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