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You construct an open box from a square piece of material 36 inches on a side by cutting equal squares with sides of length x

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You construct an open box from a square piece of material 36 inches on a side by cutting equal squares with sides of length x from the corners and turning up the sides see figure 36 2x a Write a function V that represents the volume of the box V x 36 v x 2 b Determine the domain of the function V Enter your answer using interval notation 0 00 c Use a graphing utility to construct a table that shows the box heights x and the corresponding volumes V x V x in x in 1 2 3 K

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