Paper folding 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 oppo- site 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 L = 2x³/(2x – 8.5). b. What value of x minimizes 2? c. What is the minimum value of L? VI? VL² – x² L\Crease Q (originally at A) х P B

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
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Paper folding 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 oppo-
site 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 L = 2x³/(2x – 8.5).
b. What value of x minimizes 2?
c. What is the minimum value of L?
VI?
VL² – x²
L\Crease
Q (originally at A)
х
P
B
Transcribed Image Text:Paper folding 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 oppo- site 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 L = 2x³/(2x – 8.5). b. What value of x minimizes 2? c. What is the minimum value of L? VI? VL² – x² L\Crease Q (originally at A) х P B
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