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=2yi+(5-5x)j +(z² - 2)k S: r(,0)=(√6 sin pcos 0)i + (√6 sino sin 0)j + (√6 cos ) k, 0≤0≤x/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.)

Advanced Engineering Mathematics
10th Edition
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 = 2yi+(5-5x)j + (z² - 2)k
S: r(0,0)=(√6 sin cos 0)i + (√6 sin o sin 0)j + (√6 cos ) k, 0≤ ≤π/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 = 2yi+(5-5x)j + (z² - 2)k S: r(0,0)=(√6 sin cos 0)i + (√6 sin o sin 0)j + (√6 cos ) k, 0≤ ≤π/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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