Minimizing Surface Area. A container firm is designing an open-top rectangular box, with

Chapter 2, Problem 16

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Minimizing Surface Area. A container firm is designing an open-top rectangular box, with a square base, that will hold 108 in3 . Let x = the length of a side of the base. x x a) Express the surface area as a function of x. [2.1] b) Find the domain of the function. [2.1] c) Using the graph below, determine the dimensions that will minimize the surface area of the box. [2.1] (6, 108) y x 100 200 300 400 500 5 15 10 2

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