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Use Stokes' theorem to calculate the integral for the surface S and boundary ∂S , and the given vector field F . Verify this result by calculating the line integral directly.
S={(x,y,z):x²+y²+z²=25,z≥0} (oriented as a graph),
∂S={(x,y):x²+y²=25} oriented counterclockwise, and the vector field F=8xi+8yj+2zk.

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