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2. (4 points) Consider the function V = g(x), where g(x) = x(6 2x)(8 - 2x), with x being the length of a cutout in

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2. (4 points) Consider the function V = g(x), where g(x) = x(6 2x)(8 - 2x), with x being the length of a cutout in cm and Vbeing the volume of an open box in cm3, where x must be between 0 and 3 cm. Determine the maximum volume of the open box in cm3. Round your answer to two decimal places. Also, indicate or show what process you used to obtain this answer. (Hint: graphing)

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