Suppose That the Flux of a Smooth Vector Field $\vec { F }$

question 49

Essay

Suppose that the flux of a smooth vector field $\vec { F }$ out of a sphere of radius r centered at the origin is ar³ + br⁴, where a and b are constants.Calculate $\dot{Q} {\operatorname{div} \vec{F}} d V$ , where W is the solid $1 £ x ^ { 2 } + y ^ { 2 } + z ^ { 2 } £ 16$

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