Suppose F = (y + 7x, 8x + 2z, 7y + 3x) and S is a surface bounded by C, a circle with radius 4, center at (3, 0, 0), in the plane x = 3, and oriented counterclockwise as viewed from the origin (0, 0, 0). Find the flux of curl(F) across S and then evaluate the circulation fF. dr. (Use symbolic notation and fractions where needed.) Is curl(F). dS= f.F. F. dr =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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17.2 #6

Suppose F
(y + 7x, 8x + 2z, 7y + 3x) and S is a surface bounded by C, a circle with radius 4, center at (3, 0, 0), in the plane
x = 3, and oriented counterclockwise as viewed from the origin (0, 0, 0).
Find the flux of curl(F) across S and then evaluate the circulation feF. dr.
(Use symbolic notation and fractions where needed.)
=
J curl(F). ds =
fr.
F. dr =
Transcribed Image Text:Suppose F (y + 7x, 8x + 2z, 7y + 3x) and S is a surface bounded by C, a circle with radius 4, center at (3, 0, 0), in the plane x = 3, and oriented counterclockwise as viewed from the origin (0, 0, 0). Find the flux of curl(F) across S and then evaluate the circulation feF. dr. (Use symbolic notation and fractions where needed.) = J curl(F). ds = fr. F. dr =
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