Let S Be the Sphere of Radius 6 Centered at the Origin

question 28

Essay

Let S be the sphere of radius 6 centered at the origin, oriented outward.
Let $\vec { G }$ be a vector field such that $\vec { G } = 3 x \vec { i } + 3 y \vec { j } + 3 z \vec { k }$ at every point of S.Find the flux of $\vec { G }$ out of S.

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