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Final exam, Math 240: Calculus III

Final exam, math 240: Calculus IIIA pril 29, 2005No books, calculators or papers may be used, other thana hand-written note card at most 5 7 in this web version, answers are at the end of the examination consists of eight (8) long-answer questions and four (4) multiple - choice problem is worth ten points. Partial credits will be given only for long-answer questions,when a substantial part of a problem has been worked out. Merely displaying some formulas is notsufficient ground for receiving partial credits. Your name, printed: Your Penn ID (last 4 of the middle 8 digits): Your signature: Your lecture section (circle one):ChaiCaldararu123456789-12 TotalPart I.

Final exam, Math 240: Calculus III April 29, 2005 ... This examination consists of eight (8) long-answer questions and four (4) multiple-choice questions. Each problem is worth ten points. Partial credits will be given only for long-answer questions, ... IV. A2 is a symmetric matrix.

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