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(7) Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the

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(7) Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane 3x + 2y + z = 6. (10 points) Validate how you know it is an absolute maximum. (The second derivative test does NOT validate an absolute extrema)

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