Mathematics, 03.12.2020 07:10 andybiersack154
Use the Divergence Theorem to calculate the flux of the vector fields F⃗ 1=−5zi⃗ +5xk⃗ and F⃗ 2=−5zi⃗ +(8y+3)j⃗ +5xk⃗ through the surface S given by the sphere of radius a centered at the origin with outwards orientation. Be sure that you are able to explain your answers geometrically.
With W giving the interior of the sphere,
∫SF⃗ 1⋅dA⃗ =∫W
dV=
and
∫SF⃗ 2⋅dA⃗ =∫W
dV=
Answers: 2
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Use the Divergence Theorem to calculate the flux of the vector fields F⃗ 1=−5zi⃗ +5xk⃗ and F⃗ 2=−5zi...
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