Pre-Calc Homework Solutions 346

Pre-Calc Homework Solutions 346 - 346 Section 8.4 1 8 6 2...

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Unformatted text preview: 346 Section 8.4 1 8 6 2 5x x2 5x 2 6 5. x 2 5x 6 x2 x2 8. x 2 1 x2 2x 2x x(x A x x 2) B 2 0x 5x 5x 1 (x A x 1 A(x (A 2) B)x Bx 2A x x2 2 8 5x 6 x2 x2 5x 5x 5x 2 6 6 3)(x B 3 x 2) 2 Equating coefficients of like terms gives A 3) 3B) B 0 and 2A 1 1 ,B 2 1 . 2 5x 2 A(x (A 2) B)x B(x ( 2A Solving the system simultaneously yields A dx x2 2x 1/2 dx x x 1/2 dx 2 Equating coefficients of like terms gives A B 5 and 2A 3B 2 9. y 2 y2 2 1 1 ln x ln x 2 2 1 x ln C 2 x 2 2 C Solving the system simultaneously yields A x2 x 2 2y y 2y 3 3 (y A y 3)(y B 3 y 1) 1 17, B 8 5x 6 12. 1 0y 2 0y 2 17 x 3 x 12 y A( y (A 1) B)y B( y (A 3) 3B) 6. y 2 4 y3 y3 0y 4y 4y y 1 0 1 Equating coefficients of like terms gives A B 1 and A 3B 0. 3 ,B 4 1 . 4 y3 y2 1 4 y 4y 1 y2 4 Solving the system simultaneously yields A y2 y dy 2y 3 y 3/4 dy 3 1/4 dy y 1 1 ln y 1 4 The rational function cannot be decomposed any further. 7. 1 1 1 x2 1 x2 (1 A x x)(1 B 1 x) x 3 ln y 4 3 C 10. x) B) y2 y y2 y 4 y y(y A y y 1) B 1 1 A(1 (A x) B)x B(1 (A y 4 A(y (A 1) B)y By A Equating coefficients of like terms gives A B 0 and A B 1. Equating coefficients of like terms gives A B 1 and A 4. 4, B 3. Solving the system simultaneously yields 1 A ,B 2 dx 1 x2 1 . 2 1/2 1/2 dx dx 1 x 1 x 1 1 ln 1 x ln 1 2 2 1 1 x ln C 2 1 x Solving the system simultaneously yields A y y2 4 dy y 4 dy y y 3 dy 1 x C 4 ln y 3 ln y 1 C ...
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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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