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An open box is to be made from a 2-meters by 6-meters piece of cardboard by...

An open box is to be made from a 2-meters by 6-meters piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the box that would give the largest volume? Justify your answer by displaying all work. Make sure to display the proper formulas for the length and width in terms of x.

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