MATH118FS11N - Last name(Print First name(Print UW Student ID Number University of Waterloo Final Examination Math 118(Calculus 2 for Engineering

# MATH118FS11N - Last name(Print First name(Print UW Student...

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Last name (Print): First name (Print): UW Student ID Number: University of Waterloo Final Examination Math 118 (Calculus 2 for Engineering ) Instructor: See table below Section: See table below Date: Wednesday, August 10, 2011 Time: 9:00 to 11:30 a.m. Term: 1115 Duration of exam: 2.5 hours Number of exam pages: 13 Exam type: Closed Book (including cover page) Additional material allowed: None Circle your instructor’s name and section number Instructor Section C. D. Roberts 001 CHE students R. Andr´ e 002 Geo-Env. students R. Andr´ e 003 Mechanical students N. K. Soontiens 004 Mechatronics students Instructions 1. Please be sure your name and ID number 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 /4 2 /7 3 /4 4 /9 5 /4 6 /4 7 /3 8 /5 9 /5 10 /8 11 /6 12 /4 13 /3 14 /9 Total /75 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
Math 118 Final Exam, Spring 2011 Page 2 of 13 Name: