MATH 19 Midterm: MATH 19 Exam 1 Winter 2009
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You may use any result from class you like, but if you cite a theorem be sure to verify the hypotheses are satis ed: this is a closed-book, closed-notes exam. No calculators or other electronic aids will be permitted: in order to receive full credit, you must show all of your work and justify your answers. Your answer should be clearly labeled: if you need extra room, use the back sides of each page. Staple any scratch paper to your exam: please sign the following: On my honor, i have neither given nor received any aid on this examination. I have furthermore abided by all other aspects of the honor code with respect to this examination. Please leave the following table blank for the grader. 8. (/10 points) (/35 points) (/10 points) (/10 points) (/5 points) (/10 points) (/10 points) (/10 points) The following question is about the mathematical de nition of certain concepts. (a) (2 points)
