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A rectangular sheet of 7.5-in.-by-11.5-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. Complete parts (a) through (c) below.

A rectangular sheet of 7.5-in.-by-11.5-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. Complete parts (a) through (c) below.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A rectangular sheet of 7.5-in.-by-11.5-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. Complete parts (a) through (c) below.
Transcribed Image Text:A rectangular sheet of 7.5-in.-by-11.5-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. Complete parts (a) through (c) below.
a. Find L² in terms of x. L² 0 b. What value of x minimizes L²? The value of x that minimizes L² is 0. c. What is the minimum value of L? The minimum value of L is about (Round to two decimal places as needed.) √₁² D R I A L Crease P X C Q (originally at A) B
Transcribed Image Text:a. Find L² in terms of x. L² 0 b. What value of x minimizes L²? The value of x that minimizes L² is 0. c. What is the minimum value of L? The minimum value of L is about (Round to two decimal places as needed.) √₁² D R I A L Crease P X C Q (originally at A) B
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