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Week_11_solutions

# Week_11_solutions - 1 WEEK 11 SOLUTIONS TUTORIAL QUESTIONS...

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1 WEEK 11 – SOLUTIONS TUTORIAL QUESTIONS 1. HPW 14.10 Problem 23, p.674 Answer: 2. HPW 15.5, Problem 16, p.708 Answer: 2 3 2 2 2 3 32 2( 2 1 ) , . .( 0 ) 0 9 29 21 dy x yx x wh e r ey dx y x y y x x   

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2 1 22 2 3 3 23 2 3 2 1 (9 ) [ 2 ] [ 32 ] 21 2 ) l n 2 1 3 , (0) 0.... ....2 / 3(27) ln(1) 18 2 / 3( 9) ln 2 1 yy d y x d x xx yx x c Now y implies c c x     3. HPW 15.5, Problem 36, p.709 Answer: 4. HPW 15.6, Problem 5, p.714 Answer:
3 5. (From November 1998 exam) (a) In a country experiencing financial instability a rumour circulates that there is to be a large devaluation of the currency. Those who hear the rumour rush to buy imported goods or US dollars. The number of people who have heard the rumour grows at a rate proportional to the product of the number who have heard it and the number who have not heard it. The population of the country is 50 million. Half a million have heard the rumour after one day and 2.5 million have heard it after 2 days. How long will it take before half the population is informed? ( It is not necessary to show integration steps in part (a)). Answer: Let

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Week_11_solutions - 1 WEEK 11 SOLUTIONS TUTORIAL QUESTIONS...

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