A rectangular piece of cardboard, 40 in. long by 1-40 in. --------122 in. wide, is used

Chapter 8, Problem 12

(choose chapter or problem)

A rectangular piece of cardboard, 40 in. long by 1-40 in. --------122 in. wide, is used for making a rectangularbox (open top) by cutting out squares of x by xfrom the corners and folding up the sides.(a) Create a polynomial expression for the volumeVin terms ofx.(b) Make a plot of Vversus x.(c) Determine x if the volume of the box is1,000 in.3(d) Determine the value of x that correspondsto the box with the largest possible volume, and determine that volume.

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