sample-final-fall-2009 - Department of Mathematical...

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Department of Mathematical SciencesMath 221Calculus IFall 2009Final ExamDO NOT TURN OVER THIS PAGE UNTIL INSTRUCTED TO DO SONAME (Printed):SECTION NO.:When instructed, turn over this cover page and begin the test. You will have 2 hours to completethe test. If you have any questions, raise your hand and wait for the proctor to come to your seat.This test contains 10 problems.Write your work on the test paper. If you need extra space, use the blank page 12 (and indicateto the grader where to find your answer).Unless otherwise instructed, you must show your work for each problem. Solutions with no sup-porting work may receive no credit. Numerical answers should be presented as exact mathematicalexpressions, not by a decimal approximation. CALCULATORS ARE NOT ALLOWED.FOR GRADING PURPOSES. DO NOT WRITE IN THE SPACES BELOW.ProblemCredit12345678910Total1
2(1) In each of the following calculatedydx. You need not simplify your answers.

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