Imagine a lidless box with height h and a square base whose sides have length x. The

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Imagine a lidless box with height h and a square base whose sides have length x. The box must have a volume of 125 ft3.

a. Find and graph the function S(x) that gives the surface area of the box, for all values of x > 0.

b. Based on your graph in part (a), estimate the value of x that produces the box with a minimum surface area.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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