A rectangular sheet of 8.5-in.-by-11-in. paper is placed on a flat surface. One of the corners is

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A rectangular sheet of 8.5-in.-by-11-in. paper is placed on a flat surface. One of the corners is placed on the opposite longer edge, as shown in the figure, and held there as the paper is smoothed flat. The problem is to make the length of the crease as small as possible. Call the length L. Try it with paper.


a. Show that L2 = 2x3/(2x - 8.5).


b. What value of x minimizes L2?


c. What is the minimum value of L?image

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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