Flux on a tetrahedron Find the upward flux of the field F = (x, y, z) across the plane - ++ = 1 in the first octant, b a where a, b, and c are positive real numbers. Show that the flux equals c times the area of the base of the region. Interpret the result physically.

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Flux on a tetrahedron Find the upward flux of the field
F = (x, y, z) across the plane - ++ = 1 in the first octant,
b
a
where a, b, and c are positive real numbers. Show that the flux
equals c times the area of the base of the region. Interpret the
result physically.
Transcribed Image Text:Flux on a tetrahedron Find the upward flux of the field F = (x, y, z) across the plane - ++ = 1 in the first octant, b a where a, b, and c are positive real numbers. Show that the flux equals c times the area of the base of the region. Interpret the result physically.
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