Express the volume v of the box in terms of x

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A rectangular box without a top has surface area 2500 cm2 . The length x of its base is 18 cm longer that its width.

• (a) Use MATLAB's polynomial functions to express the volume V of the box in terms of x.

• (b) Plot V vs x for 5 = x = 35 cm.

• (c) Determine the length that maximizes the volume as well as said volume.

Reference no: EM132121050

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