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  3. use a graphing utility to graph v(x) = x(12- 2x)2�

Use a graphing utility to graph V(x) = x(12- 2x)2​, which expresses the volume of a​...

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Advance Math

Use a graphing utility to graph V(x) = x(12- 2x)2​,which expresses the volume of a​ box, V, as a function of thelength of the side of the square cut from each​ corner, x, of asheet of square cardboard with a side length of 12 inches. Then usethe trace button or maximum function feature to find the length ofthe side of the square that should be cut from each corner of thecardboard to create a box with the greatest possible volume. Whatis the maximum volume of the open​ box?

a. What is the length of the side of the square that should becut from each corner of the cardboard to create a box with thegreatest possible​ volume?

​(Round to the nearest inch as​ needed.)

b. What is the maximum volume of the open​ box?

_ in3 (round to nearest inch)

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