Use the divergence theorem to find the outward flux ∫ ∫ S F · n dS of the vector field F = cos(10y + 5z) i + 9 ln(x2 + 10z) j + 3z2 k, where S is the surface of the region bounded within by the graphs of z = √ 25 − x2 − y2 , x2 + y2 = 7, and z = 0. Please explain steps. Thank you :)
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