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Use the Extrapolation Algorithm with tolerance TOL 10-6 , hmax 0.5, and hmin 0.05 to

Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden ISBN: 9781305253667 457

Solution for problem 3 Chapter 5.8

Numerical Analysis | 10th Edition

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Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden

Numerical Analysis | 10th Edition

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Problem 3

Use the Extrapolation Algorithm with tolerance TOL 10-6 , hmax 0.5, and hmin 0.05 to approximate the solutions to the following initial-value problems. Compare the results to the actual values. a. y' y/t - (y/t)2 , 1 < ? < 4, ^(l) = 1; actual solution y(t) = t/(\ +ln/). b. = 1 + y/t + {y/t)1 , 1 < r < 3, >>(1) = 0; actual solution y{t) t tan(lnr). c. y' ()'+ 1)0'+ 3), 0 < r < 3, yfO) = -2; actual solution y{t) 3 +2(1 +e~2 ')~l . d. y' = (t + 2t3 )y2 ty, 0 < t < 2, y(0) = 5; actual solution y(t) = (3 + 2t2 + 6e'2 )~t/2 .

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Limoncelli Notes Chapter 1 ● increasing globalization, rise of nation­building and imperialism —> increased emergence of traffic in women and girls for prostitution ● trafficking — first women’s issue taken up in international accords ● nationalist concerns about protecting states from certain groups of “undesirable” migrants and led to increased social control of women ● movement — initially conceived of as a humanitarian effort to protect women —> ended up leading to social control of women ● movement was limited by central role of women’s sexual labor in both nation/state and empire building ● two main associations ○ emerging feminist group — challenged state sovereignty in matters of prostitution ■ International Abolitionist Federation ■ did not support nationalism ○ purity reformers — sought to reinforce that sovereignty ■ International Bureau ■ state officials preferred working with the International Bureau — more concerned with protecting the state from “undesirable” women than with preventing the exploitation of women in prostitution ● anti­trafficking movement ended up reinforcing rather than challenging state power — state officials used reforms to realize their own interests in maintaining and controlling women’s mobility and sexual labor ● women — critical to nation­building ○ potential child bearers and mothers but ALSO workers and settlers ○ physical and cultural reproduction of the nation­state and empire ○ ensure sexual respectability — their availability to men of their own and not of others ○ unbounded female sexual activities — threat to strength of the nation and the honor of men ○ preoccupation with women’s bodies — strongly tied to masculinity of nationalism and imperialism ■ militarization inherently tied to masculinity ● sexual and domestic needs of officers, administrators, laborers and military men on imperial projects — regulated using women’s sexual labor ● concubinage was the preferred arrangement in early colonial times —> later turned towards prostitution ● prostitution — viewed as both a necessity and a potential danger for nation and empire ● 1904 Accord — established central bureaus for the exchange of information on the traffic and provided for the govt. repatriation of foreign women in prostitution and the regulation of employment offices that linked emigrants to situations abroad ● 1910 Accord — made prostitution of minors or adult women who had been forced or coerced into prostitution a punishable offense ● after WWII many former imperial nations were no longer interested in the issue — they had just lost all of their colonies ● France — purity reformers dominated movement ○ govt did not apply either the 1904 or the 1910 accords to its protectorates or the 1921 convention to its colonies or protectorates Chapter 2 ● abstinence was not an option for single or married men ○ alternative sexual outlets like masturbation or homosexuality — not acceptable ○ necessary to allow and provide what state officials perceived to be safe and appropriate heterosexual outlets ● concubinage — used indigenous women —> cheaper than importing european women ○ lived with and cared for European men ○ complications — growth in number...

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Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

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Use the Extrapolation Algorithm with tolerance TOL 10-6 , hmax 0.5, and hmin 0.05 to