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. [6 points) An open box is to be made by cutting a square from each corner of a 12 inch by 12 inch piece

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. [6 points) An open box is to be made by cutting a square from each corner of a 12 inch by 12 inch piece of metal and then turning up the sides. 1iifhat size square should be cut from each corner in order to produce a box of maximum volume? [Hint: make a sketch]

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