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fall06 - MATH 136 Final Exam Time allowed 150 minutes...

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MATH 136 Final Exam December 18, 2006 Time allowed: 150 minutes Instructions 1. Attempt all problems. 2. The relative weights of problems are as shown below. The problems are in no particular order. 3. Be sure to show work, for otherwise it is impossible for me to give partial credit. Solutions that are unduly difficult to understand may not receive full credit even if they are correct. 4. Only standard calculators with the pink tie sticker are permitted. 5. You may detach the last two pages of this booklet and use them for rough work. If you would like anything on these sheets to be considered for credit, please enclose the paper in your test and indicate clearly on the test which problem the material on the paper refers to. I’d prefer that you didn’t do this, though. 6. This test should have 10 pages, including this page and the blank pages at the end. If it does not, please request a replacement paper. 7. Good luck! Name: ID number: If you do not want your student number and grade posted outside my office door, please check here: Grading Problem Score Maximum 1 10 2 8 3 8 4 8 5 8 6 8 7 10 Total 60 2
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1. Indicate whether the following statements are true or false. Give a counterexample to each false state-
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