Question: Consider the vector field ( 7 z , 8 x , - 8 y : Consider the vector field F = ( : 7 z

Consider the vector field (7z,8x,-8y:
Consider the vector field F=(:7z,8x,-8y) and the surface S defined by the part of the parabaloid z=x2+y2 that lies below the plane z=16 with upward-pointing unit normal vector.
Calculate curl(F). Give your answer using vector notation.
Use Stokes" Theorem to compute the flux of curl(F) through the surface S. Give an exact answer.
Consider the vector field ( 7 z , 8 x , - 8 y :

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