MATH 21A Final: MATH 21A Harvard 21a Spring 09Math21a Spring2009 FinalExam
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Instructions: please begin by printing and signing your name in the boxes above and by checking your section in the box to the right, you are allowed 3 hours (180 minutes) for this exam. Please pace yourself accordingly: you may not use any calculator, notes, or other assistance on this exam, in order to receive full credit, you must show your work and carefully justify your answers. The correct answer without any work will receive little or no credit. Jun yin: if you need more room, use the backs of the pages and indicate to the grader that you have done so, please write neatly. Illegible answers will be assumed to be incorrect: unless otherwise speci ed, you may use any valid method to solve a problem, raise your hand if you have a question, good luck! Indicate whether the following statements are true or false by circling the appropriate.
