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You are planning to make an open rectangular box from a 6-in. by 6-in. piece...

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You are planning to make an open rectangular box from a 6-in. by 6-in. piece of cardboard by cutting congruent squares from the corners and folding up the sides. What are the dimensions of the box of largest volume you can make this way, and what is its volume? Use must use calculus to determine the desired optimal solution to the problem.

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