The plane x C y C z D 0 divides the cube ?1 x 1, ?1 y 1,

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The plane x C y C z D 0 divides the cube ?1 x 1, ?1 y 1, ?1 z 1 into two parts. Let the lower part (with one vertex at .

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The plane x C y C z D 0 divides the cube ?1 x 1, ?1 y 1, ?1 z 1 into two parts. Let the lower part (with one vertex at .?1; ?1; ?1/) be D. Sketch D. Note that it has seven faces, one of which is hexagonal. Find the flux of F D xi C yj C zk out of D through each of its faces.

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