2. Evaluate the flux integral F . dS where (a) (24 pts) F(x, y,z) = , S is the portion of the unit sphere in
2. Evaluate the flux integral F . dS where (a) (24 pts) F(x, y,z) = , S is the portion of the unit sphere in octant II, i.e., x S 0, y 2 0, z 2 0 with downward orientation. Note: S is not the boundary of a solid region. Hint: parameterize the sphere and make sure your normal vector is oriented correctly
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