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sample exam solutions - UNIVERSITY OF WATERLOO FINAL...

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UNIVERSITY OF WATERLOO FINAL EXAMINATION Term: Fall Yea.J:~tJU~ Student Name UW Student ill Number Course Abbreviation and Number MATH 117 Course Title Calculus 1 for Electrical & Computer Eng. Sections(s) 001,002, 003, 004, and 005 Sections Combined Course(s) SYDE III Section Numbers ofCombined Course(s) 001 Instructor(s) o B. Ingalls o D. Harmsworth (BE) o G. Tenti o D. Harmsworth (CE) OM Scott OD,E. Chang Date ofExamination December 12,2005 Time Period Start time 12:30 p.m. . End time: 3:00 p.m. Duration ofExam 2.5 hours Number ofExam Pages (including this cover sheet) 11 Exam Type Spedal Materials Additional Materials Allowed Formula Sheet. Marking Scheme: Question 1 2 3 4 5 6 7 Totals Marks 15 10 100 Score }
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Fal12005 MAre 117/SYDE 111- Final Examination 1. Evaluate the following integrals: __ i_:: ~ t ~ 4- c.. :1"(1--\) A- -,.: :x.--\ =") ,-= A:dx-I) ~ % (j.-\) + Cx,;I. . \=.-~ 51> (S:::-\ ~~~inj x.:; 0 I \ -: CIS" G:;. \ Se\\~~ :L~ \ O~ A+e. ) A; -\. Sb \~(. -2 -\e.~~ - 1\ } ).. (c) s: 11 sin(x)dt J).v. .-\-k.:, ~ ..::: ) ~II;:; S~l\ ,., lb. . 5~ ~v- '= .~h.l,,- v; - (.0, iC. J "'Gla. ""I \k{;). t. ~ ~/a- ~ .... J X SI" :t. cl.;:J., :: - X (..0> X- \ + J ~~c.o.s:x. . c\;t. .. ~ ~ 0 :::: "V.h o -\- J.. j ~ (0.5 ~ 11. . \low v...~ • u.:; ::t J J. v,; (.oS. x.l o ~ J..\). .~ lb. . ) Y ~ si" -;. . . Page 2 ofll
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MATH 117/SYDE 111 - Final Examination Fall 2005 2. (a) Show that f j(x)dr = if(x) - f if'(x)dr, and use it to evalueate f sin-I (r)dr . Le\ v..~+h.), cl'J-=J. .~) (~) St> !v-.:: rl:;(.)~:1) -J=.J. . J\ (~) h.:: ) I,).~'J := ~'J - )"c\.",:: x. t 1,,-' - j A r(:x.)!}. .) 0.'> ret~(~. ~o',.J\ ,\- ~ b.);: 51,,':t / ~he" r 1.;(,) = t\ ~;:. , e(j\o>-s)t l~ ,)1.>-> 0 jW-S )WO- -o.~ \ e e - No. .,!, s~,,(.e \ e~o.
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This note was uploaded on 10/12/2008 for the course MATH 117 taught by Professor Harmsworth during the Spring '07 term at Waterloo.

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sample exam solutions - UNIVERSITY OF WATERLOO FINAL...

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