M138 Winter '13 Final Solutions - Last name(Print First...

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Last name (Print):First name (Print):UW Student ID Number:Your course section number (see below):University of WaterlooFinal ExaminationMath 138(Calculus II )Instructor:See table belowSection:See table belowDate:Monday April 15, 2013Time:9:00-11:30 a.m.Term:1131Duration of exam:2 hours 30 minutesNumber of exam pages:11Exam type:Closed Book(including cover page)Additional materials:“Pink tie” calculatorsCircle your instructor’s name and section numberInstructorSectionK. Miller001A. Popov002S. Speziale003D. Park004K. Purbhoo005D.E. Chang006F. Vinette008S. Speziale009Formulassin 2α= 2 sinαcosαsin2α= (1-cos 2α)/2cos2α= (1 + cos 2α)/2sin2α+ cos2α= 1tan2α+ 1 = sec2αInstructions1. Write your name and ID number at the topof this page. Please circle your instructor’sname and your section number up above.2. Answer the questions in the spaces provided,using the backs of pages for overflow orrough work.3.Show all work required to obtain youranswers. Your grade will be influencedby how clearly you express your ideas,and how well you organize your solu-tions.

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