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A box is to be made out of a 6 cm by 16 cm piece...

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Calculus

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A box is to be made out of a 6 cm by 16 cm piece of cardboard Squares of side length x cm will be cut out of each corner and then the ends and sides will be folded up to form a box with an open top a Express the volume V of the box as a function of V cm b Give the domain of V in interval notation Use the fact that length width and volume must be positive c Find the length L width W and height H of the resulting box that maximizes the volume Assume that W L L W H cm cm cm d The maximum volume of the box is cm

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