Use the surface integral in Stokes Theorem to calculate the flux of the curl of the field F across the surface S in the direction away from the origin. F=4yi+(5-3x)j + (2²-2)k S: r(0,0)=(√3 sin cos 0)i + (√3 sin sin 0)j + (√3 cos ) k, 0≤ ≤r/2, 0≤0≤2 The flux of the curl of the field F across the surface S in the direction of the outward unit normal n is.

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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Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F
across the surface S in the direction away from the origin.
F = 4yi +(5-3x)j + (2²-2)k
S: r(0,0)=(√3 sin cos 0)i + (√3 sin sin 0)j + (√3 cos 6) k, 0≤ ≤r/2, 0≤0 ≤2
The flux of the curl of the field F across the surface S in the direction of the outward unit
normal n is.
(Type an exact answer, using as needed.)
Transcribed Image Text:Use the surface integral in Stokes' Theorem to calculate the flux of the curl of the field F across the surface S in the direction away from the origin. F = 4yi +(5-3x)j + (2²-2)k S: r(0,0)=(√3 sin cos 0)i + (√3 sin sin 0)j + (√3 cos 6) k, 0≤ ≤r/2, 0≤0 ≤2 The flux of the curl of the field F across the surface S in the direction of the outward unit normal n is. (Type an exact answer, using as needed.)
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