M118-Final Exam-2012_master - Last name(Print Please print in pen First name(Print UW Student ID Number Waterloo Student ID Number WatIAM\/Quest Login

M118-Final Exam-2012_master - Last name(Print Please print...

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(including cover page) Additional material allowed: None Circle your instructor’s name and section number Instructor Section O. L. Sanchez 001 Chem. eng. students R. Andr´ e 002 Civil eng. students F. Girelli 003 Management eng. students R. Andr´ e 004 Mechanical eng. students Instructions 1. Please be sure that your name and ID num- ber appear correctly at the top of this page. 2. Answer the questions in the spaces provided, using the backs of pages for overflow or rough work. 3. To obtain maximum marks show all your work, carefully justifying your answers. 4. The use of calculators or any other aids will not be allowed for the test. FOR EXAMINERS’ USE ONLY Question Mark 1 /3 2 /4 3 /8 4 /5 5 /10 6 /9 7 /4 8 /2 9 /9 10 /3 11 /2 12 /6 Bonus Total /65 Formulas: sin 2 α = 2 sin α cos α sin 2 α = (1 - cos 2 α ) / 2 cos 2 α = (1 + cos 2 α ) / 2 csc prime x = - csc x cot x cot prime x = - csc 2 x Please print in pen: Waterloo Student ID Number: WatIAM/Quest Login Userid: Examination Final Winter 2012 MATH 118 Times: Monday 2012-04-16 at 12:30 to 15:00 (3PM) Duration: 2 hours 30 minutes (150 minutes) Exam ID: 2514827 Sections: MATH 118 LEC 001,002,003,004 Instructors: Andre Robert, Girelli Florian, Leon Sanchez Omar MATH 118 Winter 2012 Final © 2012 University of Waterloo Page 1 of 14
Math 118 Final Exam, Winter 2012 Page 2 of 14 Name:

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