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Unformatted text preview: 1. An open top box with a square base is made from a square piece of cardboard by cutting out the corners and folding up the sides. If the dimensions of the cardboard are 9 inches by 9 inches, then what size cut will maximize the volume and what is the absolute maximum volume? 2. A cylindrical container, open at the top is to hold 512 = (8)(8)(8) cubic centimeters of water. Find the absolute minimum area and the height and radius that minimize the amount of material (area) needed to manufacture the container....
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- Spring '11