MATH 241 Final: MATH 241 UPenn 241Final S11 Exam

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31 Jan 2019
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Math 241 final exam may 10, 2011 (clee, gupta, shatz) The examination consists of 15 problems each worth 10 points; answer all of them. The rst 10 are multiple choice, no partial credit given, but. Statement you deem correct in the problem concerned. No work is required to be shown for these 10 problems, use your bluebooks for computations and scratch work. The work for these in the space provided on the exam. Do not use blue books for these 5 questions; do. No books, tables, notes, calcula- tors, computers, phones or electronic equipment allowed; one 8 and 1/2 inch by 11 inch paper allowed, handwritten on both sides, in your own handwriting; no substitutions of this aid allowed. In what follows, we write ux for u problems concerning pde. If is the ellipse x2 + y2 ez z2(z 2) dz. 4 = 1, traced counterclockwise, evaluate a) b)