Mathematics, 03.06.2021 01:40, jaythagod

1.- Use the divergence theorem to calculate the surface integral SF · dS; that is, calculate the flux of F across S. F(x, y z) = x^2z i + xz^3 j + y ln(x + 1) k, S is the surface of the solid bounded by the planes
x + 2z = 8, y = 6, x = 0, y = 0, and z = 0.

2.- Use the divergence theorem to calculate the surface integral SF · dS; that is, calculate the flux of F across S.
F(x, y z) = (xy + 2xz) i + (x^2 + y^2) j + (xy − z^2) k, S is the surface of the solid bounded by the cylinder x^2 + y^2 = 36 and the planes z = y − 6 and z = 0.

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1.- Use the divergence theorem to calculate the surface integral SF · dS; that is, calculate the flu...