p3.partial fractionsprectice

2
PARTIAL FRACTIONS Express as partial fractions. Use series expansion for the Q-(1, 3, 6, 7, 8, 9, 12, 15, 19) up to and including the term in x 2 . Q-1. ans. A = 3 , B = 2 , Q-2. ans. A = 3 , B = 4 Q-3. ans. A = 3 , B = - 8 , C = 1 Q-4. ans. A = -1/5 , B = 1/5 Q-5. ans. values of constants are 3, 5 , 7 Q-6. ans. values of constants are -3 , 5 Q-7. ans. Values of constants are 6 , -3 Q-8. ans. Values of constants are -1 , -1 , 2 Q-9. ans. Values of constants are 4 , 0 , 1 Q-10. ans. Values of constants are -1 , 4 , 1 Q-11. ans. Values of constants are -3/2 , 3/8 , -11/8 Q-12. ans. Values of constants are 2/9 , 2/3 , 1/9 Q-13. ans. Values of constants are 1 , - 1 , 3 Q-14. ans. Values of constants are -2 , 2 , 1 Q-15. ans. Values of constants are 1 , 1, 0 Q-16. ans. Values of constants are 1, -1, 0

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Page 1: p3.Partial Fractionsprectice

PARTIAL FRACTIONSExpress as partial fractions.Use series expansion for the Q-(1, 3, 6, 7, 8, 9, 12, 15, 19) up to and including the term in x2.

Q-1. ans. A = 3 , B = 2 ,

Q-2. ans. A = 3 , B = 4

Q-3. ans. A = 3 , B = - 8 , C = 1

Q-4. ans. A = -1/5 , B = 1/5

Q-5. ans. values of constants are 3, 5 , 7

Q-6. ans. values of constants are -3 , 5

Q-7. ans. Values of constants are 6 , -3

Q-8. ans. Values of constants are -1 , -1 , 2

Q-9. ans. Values of constants are 4 , 0 , 1

Q-10. ans. Values of constants are -1 , 4 , 1

Q-11. ans. Values of constants are -3/2 , 3/8 , -11/8

Q-12. ans. Values of constants are 2/9 , 2/3 , 1/9

Q-13. ans. Values of constants are 1 , -1 , 3

Q-14. ans. Values of constants are -2 , 2 , 1

Q-15. ans. Values of constants are 1 , 1, 0

Q-16. ans. Values of constants are 1, -1, 0

Q-17. ans. Values of constants are 3, -2, 4, 0

Q-18. ans. Values of constants are -1, 2, 1, 3

Q-19. ans. Values of constants are 2, 2, -3, 0

Page 2: p3.Partial Fractionsprectice