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Mathematics, 11.04.2021 04:50 shainaanderson24

A square plate of sheet metal has a side of length16 units. A rectangular tray without lid is made from this sheet by cutting squares of side x units from the corners and folding and welding the vertical edges. Show that the volume of the tray is given by V=256x-64x^2+4x^3 units^3and find the maximum volume of the tray, proving it to be a maximum

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