Question: Let F ( x , y , z ) = 5 z 2 xi + ( 5 3 y 3 + tan ( z )

Let F(x,y,z)=5z2xi+(53y3+tan(z))j+(5x2z+2y2)kF(x,y,z)=5z2xi+(53y3+tan(z))j+(5x2z+2y2)k. Use the Divergence Theorem to evaluate SFdSSFdS where SS is the top half of the sphere x2+y2+z2=1x2+y2+z2=1 oriented upwards.
SFdS=

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