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  • 11-03-2024
  • Mathematics
contestada

Calculate this line integral by Stoke's theorem for the given F and C. Assume the Cartesian coordinates to be right-handed and the z-component of the surface normal to be nonnegative. ∮ c​ F⋅r ′ ds= ?
(a) F = ⌊2y,−z,0},C: the boundary curve of y² + z² = 4, z ≧ 0 ,0 ≦ x ≦ h

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