Question: (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

(7) Find the volume of the largest rectangular box in the

(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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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 x + 2 y + 3 z = 3.

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