Suppose F = (6y, -4z, 3x) 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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Suppose F = (6y, -4z, 3x) 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.)
[[ curl(F) · ds =
S
Incorrect
$
C
3
F. dr = 2
Incorrect
3/2
Transcribed Image Text:Suppose F = (6y, -4z, 3x) 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.) [[ curl(F) · ds = S Incorrect $ C 3 F. dr = 2 Incorrect 3/2
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