homework1 - Credit Problems: There is no partial credit for...

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M408D Homework Assignment 1 Due on Tuesday 9/8 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 7.8 and 8.8. If you have time, preview Section 12.1.
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Unformatted text preview: 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 7.8 (page 478-481): 18, 46, 50, 62. Section 8.8 (page 551-553): 14, 15, 52, 55. Each problems are 12.5 points and total points are 100 for this assignment. Practice Problems: All problems are from Stewart Calculus 6th edition. Section 7.8 (page 478-481): 8, 19, 22, 26, 27, 28, 42, 45, 49, 56, 58, 66, 91, 92. Section 8.8 (page 551-553): 2, 17, 24, 28, 53, 56, 57, 58, 60, 61, 75, 76, 77. Challenge Problem : Stewart Calculus 1. Let f be a real function de ne as f = exp(-1 /x 2 ) for x > , for x . Prove f is in nity di erentiable at x = 0 and f ( n ) (0) = 0 for n = 1 , 2 , 3 ,... 2. Show the improper integral Z sin x x is convergent. 1...
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This note was uploaded on 03/26/2010 for the course PHY 303K taught by Professor Turner during the Fall '08 term at University of Texas at Austin.

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