Use the divergence theorem to calculate the flux of the vector field F⃗ (x,y,z)=−5xyi⃗ +2yzj⃗ +4xzk⃗  through...

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Use the divergence theorem to calculate the flux of the vectorfield F⃗ (x,y,z)=−5xyi⃗ +2yzj⃗ +4xzk⃗  through the sphereS of radius 2 centered at the origin and oriented outward.
∬SF⃗ ⋅dA⃗ =

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