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Algebra
Question

If \(F = x ^ { 2 } z i + ( y ^ { 2 } z + 3 y ) j ...

If \(F = x ^ { 2 } z i + ( y ^ { 2 } z + 3 y ) j + x ^ { 2 } k ,\) find the flux of \(F\) across the part of the ellipsoid \(x ^ { 2 } + y ^ { 2 } + 4 z ^ { 2 } = 16 ,\) where \(z \geq 0\) oriented with upward normal.

Answer

\(128 \pi\)

Solution
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