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

Question 59

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Suppose that the flux of a smooth vector field F\vec { F } out of a sphere of radius r centered at the origin is ar3 + br4, where a and b are constants.Calculate Q˙divFdV\dot{Q} {\operatorname{div} \vec{F}} d V , where W is the solid 1£x2+y2+z2£161 £ x ^ { 2 } + y ^ { 2 } + z ^ { 2 } £ 16

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