homework3 - 12.7 and 12.8 Credit Problems There is no...

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M408D Homework Assignment 3 Due on Tuesday 9/22 Instruction : I will assign reading for you each week. Basically it is from the textbook and follows the tentative schedule on syllabus. Please nd time to read your textbook. Usually, there are 3 kinds of problems set in assignments, credit problems, practice problems and challenge problems. You only have to turn in credit problems. You should not turn in the practice or challenge problems. They will not be graded. Some problems of midterm exams will be chosen form the practice problems in the exactly the same format. Hence you should know how to solve them. Challenge problems are for those who want to solve hard problems or want to learn more. These problems will not be for credit or shown in exams. You must turn in your homework to your TA before discussion section or you will get 0 on this assignment . Reading : Stewart Calculus 6th edition, Section 12.3, 12.4 and 12.5. If you have time, preview 12.6,
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Unformatted text preview: 12.7 and 12.8. Credit Problems: There is no partial credit for each problem. You must show both your work (explain brie y how you get the answer not just a number) and correct answers to get points. All problems are from Stewart Calculus 6th edition. Section 12.3 (page 739-740): 7, 21; Section 12.4 (page 745): 22, 28, 30, 32; Section 12.5(page 749-750) 13, 16. Each problem is 12.5 points and the total points for this assignment are 100. Practice Problems: All problems are from Stewart Calculus 6th edition. Section 12.3: 5, 8, 17, 18, 22, 24, 27, 30; Section 12.4: 5, 13, 24, 27, 31, 44, 45; Section 12.5: 6, 7, 14, 34. Challenge Problems: 1. Section 12.3: 40. 2. Section 12.4: 46. 3. Find a positive sequence b n such that lim n →∞ b n = 0 but the alternating series ∑ ∞ n =1 (-1) n-1 b n is divergent. 1...
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