Suppose That $\vec { F }$ Is a Smooth Vector Field, Defined Everywhere

question 70

True/False

Suppose that $\vec { F }$ is a smooth vector field, defined everywhere.
It is possible that $\int _ { S } \vec { F } \cdot d \vec { A } = 3 r ^ { 2 } + 2 r$ , where S is a sphere of radius r centered at the origin.

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