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Take a piece of ordinary paper, about 0.1 mm in thickness. Now start folding it in half, then in half again, and so on. Assume you could continue indefinitely. a. How would you model the growth in thickness of the folded paper? b. How many folds would it take to reach: I. The height of a human? I. The height of the Matterhorn, a famous mountain in Switzerland, which is 4478 meters? ii. The sun? iv. The edge of the known universe?

Take a piece of ordinary paper, about 0.1 mm in thickness. Now start folding it in half, then in half again, and so on. Assume you could continue indefinitely. a. How would you model the growth in thickness of the folded paper? b. How many folds would it take to reach: I. The height of a human? I. The height of the Matterhorn, a famous mountain in Switzerland, which is 4478 meters? ii. The sun? iv. The edge of the known universe?

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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2) To the edge of the universe Take a piece of ordinary paper, about 0.1 mm in thickness. Now start folding it in half, then in half again, and so on. Assume you could continue indefinitely. a. How would you model the growth in thickness of the folded paper? b. How many folds would it take to reach: I. The height of a human? ii. The height of the Matterhorn, a famous mountain in Switzerland, which is 4478 meters? ii. The sun? iv. The edge of the known universe?
Transcribed Image Text:2) To the edge of the universe Take a piece of ordinary paper, about 0.1 mm in thickness. Now start folding it in half, then in half again, and so on. Assume you could continue indefinitely. a. How would you model the growth in thickness of the folded paper? b. How many folds would it take to reach: I. The height of a human? ii. The height of the Matterhorn, a famous mountain in Switzerland, which is 4478 meters? ii. The sun? iv. The edge of the known universe?
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