Answer Key First Long Exam - MATH 17 First Long Examination...

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MATH 17 1 st Semester 2010-2011 First Long Examination 02 August 2010 PART 1 . 1. C 2. B 3. B 4. 1 5. D 6. 3 2 7. A 8. C 9. D 10. B 11. C 12. 2 4 2 3 x x x 13. D 14. 12 11 x x 15. B 16. A 17. D 18. A 19. B 20. A 21. C 22. C 23. D 24. B 25. A 26.    x x x 2 12 2 20 27.   180 5 2 3 2 5 2 x x Part II . Do as you are told. (30 points) 1. Perform the indicated operations and simplify the results: a. b. 2. Solve the given equations/inequalities and reject extraneous root. a. Solution: Let x x u 1 .    2 3 2 1 0 3 2 1 2 0 3 4 4 2 , u u u u u 2 3 1 or 2 1 1 x x x x 2 or 3 2 x x 2 3 2 , SS
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b. Solution: 3 3 y y 9 6 3 y y y 12 6 y 4 2 y y Check! 3 1 2 1 4 3 4 c. Solution:   0 4 8 3 2 Let 2 3 4 x x x x x P By Descartes Rule of Signs, P(x) has either 4, 2 or 0 positive roots. Then P(-x) = 2x 4 +3x 3 + x 2 + 8x + 4 = 0. Since P (- x ) has no variations, the polynomial equation has no negative roots. By Rational Root Theorem or by inspection,
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This note was uploaded on 05/13/2011 for the course MATH 17 taught by Professor Dikopaalam during the Spring '11 term at University of the Philippines Los Baños.

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Answer Key First Long Exam - MATH 17 First Long Examination...

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