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1. To carry a suitcase on an airplane, the length + width + height of the box must be less than or equal to

1. To carry a suitcase on an airplane, the length + width + height of the box must be less than or equal to 62 inches. Assuming the base of the suitcase is a square, show that: V = h(31 - ()h). What height allows you to have the largest volume?

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