Question: Consider the vector field F ( x , y , z ) = ( x 2 + y - 8 ) i + 5 x

Consider the vector field F(x,y,z)=(x2+y-8)i+5xyj+(2xz+z2)k and the surface S given byx2+y2+z2=9,
z0, with the unit normal of the surface pointing radially outward.
Evaluate the following integral.
S(gradF)*dS
(Givean exact answer. Use symbolic notation and fractions where needed.)
Consider the vector field F ( x , y , z ) = ( x 2

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