A rectangular box (no top) is welded together using sheet metal. The length of the box's...

 

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A rectangular box (no top) is welded together using sheet metal. The length of the box's base is 18 in. longer than its width. The total surface area of the sheet metal that is used is 2,500 in.². (a) Using polynomials write an expression for the vol- ume Vin terms of x. (b) Make a plot of V versus x for 5<x<35 in. (c) Determine the dimensions of the box that maxi- mizes the volume and determine that volume. h x+18 I A rectangular box (no top) is welded together using sheet metal. The length of the box's base is 18 in. longer than its width. The total surface area of the sheet metal that is used is 2,500 in.². (a) Using polynomials write an expression for the vol- ume Vin terms of x. (b) Make a plot of V versus x for 5<x<35 in. (c) Determine the dimensions of the box that maxi- mizes the volume and determine that volume. h x+18 I

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Lets denote the width of the rectangular box as x inches The length of the boxs base which is 18 inc... View the full answer