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Unformatted text preview: Prof. Girardi Math 142 Spring 2010 04.29.2010 Final Exam MARK BOX problem points 1(23)/2(10)/3(7) 40 4 10 5 10 6 10 7 10 8 10 9 10 10 10 11 10 12 10 13 10 take home 10 150 NAME (legibly printed): class PIN: If you do not make at least a 50% (i.e. at least 20 of the 40 possible points) on problems 1, 2, and 3, then you will recieve a zero on the remainder of the exam. You were warned. INSTRUCTIONS : (1) To receive credit you must: (a) work in a logical fashion, show all your work, indicate your reasoning ; no credit will be given for an answer that just appears ; such explanations help with partial credit (b) if a line/box is provided, then: show you work BELOW the line/box put your answer on/in the line/box (c) if no such line/box is provided, then box your answer (2) The mark box indicates the problems along with their points. Check that your copy of the exam has all of the problems. (3) You may not use a calculator, books, personal notes. (4) During this exam, do not leave your seat. If you have a question, raise your hand. When you finish: turn your exam over, put your pencil down, and raise your hand. (5) This exam covers (from Calculus by Stewart, 6 th ed., ET): 7.1 - 7.5, 7.8, 11.1 - 11.8, 6.1 - 6.3, 10.3, 10.4. . Problem Inspiration : See the answer key. Honor Code Statement I understand that it is the responsibility of every member of the Carolina community to uphold and maintain the University of South Carolinas Honor Code. As a Carolinian, I certify that I have neither given nor received unauthorized aid on this exam. Furthermore, I have not only read but will also follow the above Instructions. Signature : 1. Fill in the blanks. . R du u = | u | + C . R cos udu = + C . R sin udu = + C . R tan udu = + C . R cot udu = + C . R sec udu = + C . R csc udu = + C . R sec 2 udu = + C . R sec u tan udu = + C . R csc 2 udu = + C . R csc u cot udu = + C . If a is a contant and a > 0 then R 1 a 2 + u 2 du = + C . If a is a contant and a > 0 then R 1 a 2- u 2 du = + C . If a is a contant and a > 0 then R 1 u u 2- a 2 du = + C . Partial Fraction Decomposition. If one wants to integratePartial Fraction Decomposition....
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