EBK DIFFERENTIAL EQUATIONS AND LINEAR A
4th Edition
ISBN: 9780321990167
Author: ANNIN
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Chapter B, Problem 7P
To determine
The partial fraction decomposition of the given rational function.
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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.
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
Problem 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}
Chapter B Solutions
EBK DIFFERENTIAL EQUATIONS AND LINEAR A
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- (c) partial fractions of 4x + 2 x³ + 2x² + 2xarrow_forward4. 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_forward
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