If F=(y2+z2−x2)i+(z2+x2−y2)j+(x2+y2−z2)k, then evaluate, ∬∇×F⋅ndA integrated over the portion of the surface x2+y
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If F=(y2+z2−x2)i+(z2+x2−y2)j+(x2+y2−z2)k, then evaluate, ∬∇×F⋅ndA integrated over the portion of the surface x2+y
If F=(y2+z2−x2)i+(z2+x2−y2)j+(x2+y2−z2)k, then evaluate, ∬∇×F⋅ndA integrated over the portion of the surface x2+y2−4x+2y= 0 above the plane z=0 and verify the Stroke's Theorem. n is the unit vector normal to the surface.
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