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Find the volume and the dimensions of the largest rectangular box in the rst octant with three faces in the coordinate planes and one vertex

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Find the volume and the dimensions of the largest rectangular box in the rst octant with three faces in the coordinate planes and one vertex on the surface 2 =10 - 2x - y2 . (lSpts) b) Maximize the volume of this rectangular box. c) What are the dimensions & volume of this largest possible rectangular box

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