Pre-Calc Homework Solutions 345

Pre-Calc Homework Solutions 345 - Section 8.4 2 06 10 04 2....

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Unformatted text preview: Section 8.4 2 06 10 04 2. x 2 x2 345 4. x 2 4x 5 2x 2 2x 2 4 4x 2 2x 2x 2x 2 1 1 (x A x 1)2 B 1 (x 1)2 11x 8x 3x 2 5. x 3 3x x2 2x 2 A(x Ax 1) ( A B B) 5 3x x 3 x (x (x 2 3) 3)(x 2 2 (x 1) 3) Equating coefficients of like terms gives A 2 and A B 2. 2, B 4. 6. y 4 5y 2 4 (y (y 2 4)(y 1) 2)(y 2)(y 1)(y 1) Solving the system simultaneously yields A 2x x2 2x 2 1 x A t 1 2 1 B t (x C t2 4 1)2 7. 2 x 3 x 3 2 3(x 3) 2(x 2) (x 2)(x 3) (x 2)(x 3) 2x 4 3x 9 (x 2)(x 3) x 13 (x 2)(x 3) x 13 x2 x 6 3. t 1 t 2(t 1) t 1 At 2 (A Bt(t B)t 2 1) ( B C(t C)t 1) C Equating coefficients of like terms gives A B 0, B C 1, and C 1. 8. x2 1 2 4x 5 x 5 (x 1)(x 5) 2(x 2 4x 5) (x 5)(x 2 4x 5) (x 5)(x 2 4x 5) x 2 4x 5 2x 2 8x 10 (x 5)(x 2 4x 5) x2 12x 15 (x 5)(x 2 4x 5) 1 2 3t t2 4 1 (3t 4)(t 2 2) (t 1)(t 2 1) (t 2 2)(t 2 1) (t 2 2)(t 2 1) 3 2 t t t 1 3t 3 4t 2 6t 8 (t 2 2)(t 2 1) 2t 3 5t 2 5t 9 (t 2 2)(t 2 1) 2t 3 5t 2 5t 9 (t 2 2)(t 2 1) 1 2 3 x Solving the system simultaneously yields A 2, B t 2, C 2 1 2 t 1. 1 t2 t 1 t 2(t 1) t 9. 2 t 4. s 3 s3 s2 4 s2 6s 6s s(s 2 A s s s B 3 6) C s s(s 2 3)(s 2) 4 A(s A(s 2 (A 3)(s s B 2) 6) B(s)(s B(s 2 2s) 2) C(s)(s C(s 2 3C)s 3s) 6A 3) C)s 2 ( A 2B 10. 2 x 3 Equating coefficients of like terms gives A B C 0, A 2B 3C 0, 6A 4 1 (x 1) (x 1) 2(x 1)2 3(x 1) 1 (x 1)3 (x 1)3 (x 1)3 2x 2 4x 2 3x 3 1 (x 1)3 2 2x 7x 6 (x 1)3 Solving the system simultaneously yields A s3 4 s2 2 ,B 3 6s 4 ,C 15 2 3s 2 . 5 4 15(s 3) 2 5(s 2) Section 8.4 Exercises 1. x 2 x2 3x 5x 3x 7 2 2 (x A x 2)(x B 2 x 1) 1 5x 7 A(x (A 1) B)x B(x (A 2) 2B) Equating coefficients of like terms gives A B 5 and A 2B 7. 3, B 2. Solving the system simultaneously yields A 5x x2 3x 7 2 x 3 2 x 2 1 ...
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This note was uploaded on 10/05/2011 for the course MAC 1147 taught by Professor German during the Spring '08 term at University of Florida.

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