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A manufacturer sends you 100m2 of material to construct a box (single layer, closed top). The...

A manufacturer sends you 100m2 of material to construct a box (single layer, closed top). The box must have a square base and be of maximum volume. Let sbe side length the base of the box, and hthe height of the box. a) Write an equation for the surface area covered by the material. b) Determine a formula for the volume V as a function of the side of s only. c) Determine the dimensions such that of the box has maximum volume.

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