EBK DIFFERENTIAL EQUATIONS AND LINEAR A
4th Edition
ISBN: 8220102019799
Author: ANNIN
Publisher: YUZU
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Chapter B, Problem 13P
To determine
The partial fraction decomposition of the given rational function.
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x* + 9x2 + x + 2
is
The rational function
improper
and the partial fraction can be written as:
x2 + 9
Ax + B
where A=
[ Select ]
and B =
[ Select ]
x2 + 9
B
B1. If
(x-1) (x+1)² (x-1) ' (x+1) ' (x+1)*
C
using partial fractions, then find the value of 24-2B+2C.
Зx2—2х+5
x3-x2+2x-2
4. Given a rational function: r(x)
Factor the denominator. Make sure you justify your answer by showing all the steps.
а.
b.
Use part (a) to write the form of the partial fraction decomposition for r(x). Make sure you justify
your answer by showing all the steps.
Chapter B Solutions
EBK DIFFERENTIAL EQUATIONS AND LINEAR A
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- John found that combining the two rational expressions provided him with the necessary information to draw conclusions on his data. What is the most simplified form of the sum of these expressions? x* +2x-3 *+4x-5 x+4x-5 x-1 x+5 x+4 x-4 x+5 x+4 x+4 x+5 %23 74°F Cloudy o search Del F10 F11 F12 Prt Sc Insert F7 F8 F9 F5 F6 F4 Backspac & O O Oarrow_forwardProblem 1. (A) Let P(x) = 6x3 + 3x2 − x + 3. Use synthetic division to find the value. P(−2) P(−2) = (B). Let P(x) = 4x4 − x2 + 4. Use synthetic division to find the value. P (1/3) P(1/3) (C) A partial solution set is given for the polynomial equation. Find the complete solution set. (Enter your answers as a comma-separated list.) x3 + 11x2 + 15x − 27 = 0; {1}arrow_forward(c) partial fractions of 4x + 2 x³ + 2x² + 2xarrow_forward
- 4. Given a rational function: r(x) = 3x2-2x+4 x3-2x–4x+8 Factor the denominator completely. Make sure you justify your answer by showing all the steps. a. Use part (a) to write the form of the partial fraction decomposition for r(x). Make sure you justify your answer by showing all the steps. b. Page 1 of 2 Simplify part (b) to set up a system of linear equations to find the coefficients of the partial fraction decomposition. Make sure you justify your answer by showing all the steps. C.arrow_forwardExpress the given rational function in terms of partial fractions. Watch out for any preliminary divisions. 6x + 12 x² X+5x+4 6x + 12 2 X+5x+4 =arrow_forwardWrite the partial fraction decomposition of the following rational expression. 4x2 + 15x + 42 x(x - 7)(x- 6) 4x2 + 15x + 42 %D X(x - 7)(x - 6)arrow_forward
- Expand the following rational function using Partial fractions Step 2 x-1 (Y-1) (x+1) B. 1. (X-1)(x+) X-1 : A(x+1) +B(x-1) (ス-1)(M+) (X-1) (x+1) |- A(x+) + B(x- 1) Please explam 1Hiese Steps in detail ļ 1- x(A+B) + (A-B) Comparing. How do I AtB=0:-0 get to these steps. A -B= 1 0: A+B) A=-B. - B- 13:) ) 13 = - Omay こ (X-1) (x+1) 2(X-1) Ang 고arrow_forwardNeed help to solve rational functions by partial fractions. Ty!arrow_forward
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