Pre-Calc Homework Solutions 361

# Pre-Calc Homework Solutions 361 - Chapter 8 Review 8 x 3(x...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Chapter 8 Review 8 x 3(x 2) x A 2 B x C x2 D x3 361 56. 59. x 3 2) D(x D)x 2) 2D x3 x3 8 Ax 3 (A Bx 2(x B)x 3 2) (2B Cx(x C)x 2 x x3 x3 0x2 0x2 (2C 1 x 1 x+0 x 1 x 1 x(x 2 1) B C x 1 x 1 Equating coefficients of like terms gives A B 0, 2B C 0, 2C D 0, and 2D 8 1 x 1 1 x x3 x A x 1 x x(x 1)(x 1) 1 1 x x(x 1 1)(x 1) Solving the system simultaneously yields A 1, B 8 dx x3(x 2) x 1 A(x (A 1)(x B 1) Bx(x (B 1) C)x A Cx(x 1) 1, C dx x 2 2, D dx x 4 4 dx x3 2 x2 C)x 2 ln x 57. t 3 3t 2 t 3 2 2 dx x2 2 ln x x Equating coefficients of like terms gives A B C 0, B C 1, and A 1. C t 4t t t(t 2 4 Solving the system simultaneously yields 1) A t Bt t2 2 C 1 A (Bt Ct C)t A 60. x 2 x3 x3 1, B 1 dx x 1, C dx x 0 dx x dx x 1 3t 2 4t 4 A(t (A 1) B)t 2 ln x ln x x 0x 3x 3x 1 C Equating coefficients of like terms gives A B 3, C 4 and A 4. 4x 3 x3 x3 4x 2 4x 2 Solving the system simultaneously yields x3 A 3t 2 4, B 4t t3 t 4 1, C dt 4 4 dt t 4 dt t t 4 dt t2 1 t dt 4 dt t2 1 t2 1 1 ln (t 2 1) 4 tan 1 t 2 x 2 (x 4x 2 3x x 4x 3 x 2 4x 3 3x A B 1)(x 3) x 1 x 3 x (x 3x 1)(x 3) 3x 3x C A(x (A 3) B)x B(x 3A 1) B 4 ln t 58. t 4 (t 2 Equating coefficients of like terms gives A B 3, 3A B 0 3 ,B 2 9/2 dx 3 9 . 2 4t 2 1 1)(t 2 3 3) (t 2 At t2 3)(t 2 B 1 1) Ct t2 D 3 Solving the system simultaneously yields A 1) C)t 3B D x3 x 2 1 (At (A B)(t 2 C)t 3 3) (B (Ct D)t 2 D)(t 2 (3A 4x 2 dx 4x 3 x dx x2 2 x 3/2 dx 1 x 3 ln x 2 1 9 ln x 2 3 C Equating coefficients of like terms gives A C 0, B D 0, 3A C 0, and 3B D 1 Solving the system simultaneously yields A (t 2 0, B dt 3)(t 2 1 ,C 2 1) 0, D 1/2 dt t2 1 1 tan 1 t 2 1 2 1/2 dt t2 3 1 1 t tan C 3 2 3 Evaluate the integrals using Formula 16, with x in the first integral and a 3 in the second. t, a 1 ...
View Full Document

## 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.

Ask a homework question - tutors are online