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Unformatted text preview: Department of Mathematics University of Notre Dame Math 10260 Bus. Calc. II Spring 2009 Name: Instructor: Exam III April 16, 2009 This exam is in 2 parts on 11 pages and contains 15 problems worth a total of 100 points. You have 1 hour and 15 minutes to work on it. You may use a calculator, but no books, notes, or other aid is allowed. Be sure to write your name on this title page and put your initials at the top of every page in case pages become detached. Good luck! Honor Pledge: As a member of the Notre Dame community, I will not participate in or tolerate academic dishonesty. Signature: You must record here your answers to the multiple choice problems. Place an through your answer to each problem. 1. (a) (b) (c) (d) (e) 2. (a) (b) (c) (d) (e) 3. (a) (b) (c) (d) (e) 4. (a) (b) (c) (d) (e) 5. (a) (b) (c) (d) (e) 6. (a) (b) (c) (d) (e) 7. (a) (b) (c) (d) (e) 8. (a) (b) (c) (d) (e) 9. (a) (b) (c) (d) (e) 10. (a) (b) (c) (d) (e) MC. 11. 12. 13. 14. 15. Tot. Math 10260 Spring 2009, Exam III Initials: Multiple Choice 1. (5 pts.) Prior to the collapse of the investment bank Bear Stearns, it was revealed that one of its investment portfolios, the AltA trust, consisted of 2093 mortgage loans. 1 At that time, 195 of those loans were in foreclosure and 180 were delinquent. What was the probability that a randomly selected loan from this fund was in foreclosure or delinquent? (Note: A loan is either in foreclosure or delinquent, but not both. Answers below are rounded to the nearest thousandth.) (a) 0.093 (b) 0.086 (c) 0.179 (d) 0.171 (e) None of these. 2. (5 pts.) The fourth degree Taylor polynomial of f ( x ) about 2 is P 4 ( x ) = 1 + 2( x 2) + 3( x 2) 3 + 4( x 2) 4 . What is f 00 (2)? (a) None of these (b) 3 (c) 18 (d) 1 3! (e) 6 1 Source: New York Times, V. Bajaj, Plans Mystery: Whats all this stuff worth? Sept. 2008 2 Math 10260 Spring 2009, Exam III Initials: 3. (5 pts.) A treatment is being designed in which a patient is injected daily with a dose of A mg of a new drug. The drug is eliminated exponentially from the body with any single injection leaving Ae . 2 t mg remaining in the body at the end of the day, t days after the injection. Over a long period of treatment, the build up of drug in the body could reach the toxic level of 1000 mg...
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 Fall '09
 HIMONAS
 Math

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