Problem 9.2. Let f(x, y, z) = 5x + y - 3z. Determine whether f(x, y,z) has absolute extrema on the
intersection of the plane x + y + z = 0 and the sphere x2 + y² + z2 = 1. If the extrema exist, find them.

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a rhombus is a parallelogram enjoying his symmetry.

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