# hw4 - 2 Spivak Chapter 7 Question 1(i(iv(vii(ix(x and(xi 3...

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University of Engineering and Technology Lahore Department of Electrical Engineering Calculus I Problem Set #4 Due date: December 10 , 2010 Announcements Quiz 2 next week on Thursday. It will cover Problem Sets 1-3 and Questions 1-4 of Problem Set 4. That means diﬀerentiation will not be a part of the quiz. Oﬃce hours: Mondays and Wednesday at 3 p.m. Apart from that I am available every day (except Fridays and Saturday) between 10 a.m.-1 p.m. I may be have drifted downstairs to the Computing Lab on the ground ﬂoor. If you do not ﬁnd me in the oﬃce, just ask around in the Software Engineering Centre and you should be able to locate me easily. Reading Thomas’ Calculus: Sections 3.1-3.6. Spivak: Chapter 7 (pages 120-122, and the statements and pictorial “proofs” of Theo- rems 9, 10 and 11), Chapter 8 (pages 131-133), Chapter 9, Chapter 10 (pages 166-168 and 176-179) 1 . 1. Thomas’ Calculus Additional and Advanced Exercises Chapter 2. Question 18, 19.
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Unformatted text preview: 2. Spivak Chapter 7: Question 1 (i), (iv), (vii), (ix), (x) and (xi), 3, 5, 18 (a) and (b). 3. Two nonintersecting roads lead from city A to city B . It is known that two cars traveling from A to B over diﬀerent roads and joined by a cord of a certain length less than 2 l were able to travel from A to B without breaking the cord. Is it possible for two circular wagons of radius l whose centers move over these roads toward each to pass without touching each other? 2 4. Spivak Chapter 8: Question 1 (i), (ii), (v), (viii), 12. 5. Thomas’ Calculus Exercise 3.1: Question 17(i). 6. Spivak Chapter 9: Question 5, 7, 10, 12, 14 7. Spivak Chapter 10: Questions 1 (i) and (ii), 2 (ii) and (iv), 4 (ii), 5 (i), 7, 11, 33 (i) and (ii). 1 You may feel this is a lot of reading, but essentially you already know most of this material, so we will not cover everything in class. 2 Courtesy V.I. Arnold. 1...
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