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6. For some vector field F, we find curlF = ( rsin z, zy, cos z - Let S be the upper hemisphere x2+y?+ 2?

6. For some vector field F, we find curlF = ( rsin z, zy, cos z - Let S be the upper hemisphere x2+y?+ 2? = 16 with > > 0 and upward facing normal. Evaluate curlF . dS by replacing S with another surface with the same boundary S as S

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