MATH 1P66 DEC 2009[1]

MATH 1P66 DEC 2009[1] - BROCK UNIVERSITY Page 1 of 10 Final...

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BROCK UNIVERSITY Final Examination: December 2009 Course: MATH IP66 Date of examination: 15 December 2009 Time of examination: 09:00 - 12:00 Page 1 of 10 Number of pages: 10 Number of students: 133 Number of hours: 3 hours Instructor: B. Farzad Examination Aids: One 8.5" X 11" sheet of paper, handwritten on both sides. No other examination aids are permitted. In particular, calculators are not permitted. Student Number: Last (Family) Name(s): First (Given) Name(s): Do not turn this page until you have received the signal to start. (In the meantime, please fill out the identification section above, and read the instructions below carefully.) MARKING GUIDE This final examination consists of 7 questions on 10 pages (including this one), printed on one side of the paper. When you receive the signal to start, please make sure that your copy of the examination is complete and write your student number where indicated at the bottom of every page (except page 1). Answer each question directly on the examination paper, in the space provided, and use the reverse side of the pages for rough work. If you need more space for one of your solutions, use the reverse side of a page and indicate clearly the part of your work that should be marked. Good Luck! Total Pages = 10 Page 1 # 1: # 2: # 3: #4: # 5: #6: # 7: TOTAL: /10 /10 /10 /10 /10 /10 /10 /70 CONT'D . ..
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December 2009 FINAL EXAMINATION MATHIP66 Question 1. [10 MARKS] (1 point each) You do not need to justify your answer for the following questions. (a) Make sure that you filled out the identification section write your student number where indicated at the bottom of every page. (b) What is (k~1 ~ where Ai = {i, i + 1, i + 2, ... }. (c) Find the error in the following proof of this "theorem": "Theorem: Every positive integer equals the next larger positive integer. " "Proof: Let P(n) be the proposition "n = n + 1". To show that P(k) implies P(k + 1), assume that P(k)
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MATH 1P66 DEC 2009[1] - BROCK UNIVERSITY Page 1 of 10 Final...

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