Find the volume of the smaller of the two regions into which
Question and Solution
Find the volume of the smaller of the two regions into which the plane x C y C z D 1 divides the interior of the ellipso
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Find the volume of the smaller of the two regions into which the plane x C y C z D 1 divides the interior of the ellipsoid x2 C 4y2 C 9z2 D 36. Hint: First change variables so that the ellipsoid becomes a ball. Then replace the plane by a plane with a simpler equation passing the same distance from the origin.
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