december_2008_exam

december_2008_exam - CARLETON UNIVERSITY FINAL EXAMINATION...

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CARLETON UNIVERSITY FINAL EXAMINATION December 2008 DURATION: 3 HOURS Department Name and Course Number: Mathematics and Statistics, MATH 1005F Course Instructor: Dr. A. Alaca AUTHORIZED MEMORANDA NON-PROGRAMMABLE, NON-GRAPHING CALCULATOR PERMITTED. This examination may not be released to the Library. This examination paper may not be taken from the examination room. Instructions: 1. Please, check the appropriate box: FINAL : DEFERRED FINAL : 2. Please provide your name, student number and signature below. Family Name Given Names Signature Student Number 3. This examination contains 13 pages. Please report any missing pages to the proctor. 4. Part I has 10 multiple choice questions, worth 3 marks each. Circle the correct answer. Only the answer will be marked. Part II has 9 questions, show your work.

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Final Examination, December 2008 – MATH 1005 F Name Page 2 PART I: Multiple Choice Questions. No partial marks. Circle the correct an- swer. [3] 1. What is the orthogonal trajectories of the family of curves y = ke x ? (a) y 2 - x = c (b) y 2 +2 x = c (c) y + x 2 = c (d) y +2 x 2 = c (e) y 2 + x 2 = c [3] 2. If y is the solution of the initial value problem y ± =2 xy, y (0) = 1 , what is y (1) ? (a)
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december_2008_exam - CARLETON UNIVERSITY FINAL EXAMINATION...

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