Question 1

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A square of side x inches is cut out of each corner of a 6 in. by 11 in. piece of cardboard, and the sides are folded up to form an open-topped box. Use your graphing calculator to determine the dimensions of the cut-out squares that will produce the box of maximum volume.  Round to the nearest tenth.
(Hint: you will first need to write the volume of the box V as a function of x.)

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