Question: 7. For some vector field F, we find curlF = ( xsin z, z y, cos z - Let S be the upper hemisphere ?

7. For some vector field F, we find curlF = (

7. For some vector field F, we find curlF = ( xsin z, z y, cos z - Let S be the upper hemisphere ? + y? + 2? = 16 with > > 0 and upward facing normal. Evaluate curlF . dS by finding a vector field F with the given curl and using Stokes' Theorem

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