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2. (2 points) A box with an open top is to be constructed from a square piece of cardboard with dimensions 8 cm x 8

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2. (2 points) A box with an open top is to be constructed from a square piece of cardboard with dimensions 8 cm x 8 cm. This box is constructed by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have. 2) 3. (2 points) A campground owner has 1400 meters of fencing. He wants to enclose a rectangular field bordering a river, with no fencing needed along the river. Find the dimensions of the field that will maximize the area

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