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# sample exam - UNIVERSITY OF WATERLOO FINAL EXAMINATION Term...

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UNIVERSITY OF WATERLOO FINAL EXAMINATION Term: Fall Year: 2005 Student Name UW Student ill Number Course Abbreviation and Number MATI! 117 Course Title Calculus 1 for Electrical & Computer Eng. Seetions(s) 001,002,003,004, and 005 Sections Combined Course(s) SYDE 111 Section Numbers of Combined Course(s) 001 Instructor( s) o B.lngalls o D. Harmsworth (BE) o G. Tenti o D. Harmsworth (CE) OM Scott DD:E. Chang Date of Examination Time Period Duration of Exam Number of Exam Pages (including this cover sheet) Exam Type Additional Materials Allowed Marking Scheme: December 12,2005 Start time 12:30 p.m .. 2.5 hours 11 Special Materials Formula Sheet. , End time: 3:00 p.m. Question 1 2 3 4 5 6 7 Totals Marks 15 15 15 15 15 15 10 100 Score c..o,.. ...... ~ ~ ~""e ~ ~ CO,,~~ Q\ ~ t..o .... {~~ hoo..~ ~el SW-tC,.. ~S M~> Q\o\C~~""} \-5 ~c, ~ ... ~\e~\b t-ol'" o-.S5~~~)) ~ 1ke ~..\- ... ~,,~ ~ ~ ~ ~I~b\(",,) ~,~.

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MATIl 117/SYDE 111 - Final Examination Fall 2005 1. Evaluate the following integrals: (a) J X2(~-1) ; , (c) I5 r sin(x)dt Page 2 of 11
Fall 2005 MATH 117/SYDE 111 - Final Examination 2. (a) Show that S j(r)dx = if(r) - S if'(r)dx, and use it to evalueate S sin- l (r)dx . (,hi~ ~(~ h n~\o-\e.\ \ i\..~ st.!.j cA k(l"'e \~~I~») ~\..\.. ~ ~'ll.:.\ ~\::'l.us,) ..\.!.-.'l) ?t. \\o~~) .... v..e ~ C»~~~ -\\..~ ~tf~ ~ \t> 5~lIe \+.) } (c) Evaluate r.!

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