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

This preview shows pages 1–3. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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,
This is the end of the preview. Sign up to access the rest of the document.

## 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.

### Page1 / 5

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online