Question: 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 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 MATLABs 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.

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