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OpenStudy (anonymous):
Find the absolute maximum and minimum values of f(x, y, z) = xyz(1 - x2 - y2 - z2) on the tetrahedron bounded by x = 0, y = 0, z = 0, and x + y + z = 2. A) maximum 1 512 , minimum 0 B) maximum 1 128 , minimum 0 C) maximum 1 256 , minimum 0 D) maximum 1 64 , minimum 0 E) none of the above
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