All Questions
Tagged with partial-fractions algebra-precalculus
17
questions with no upvoted or accepted answers
3
votes
2
answers
34
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partial fractions for a function
I need help finding the partial fraction decomposition for this function, I am just lost on it, here it is:
$(x^2 + x + 1)/(2x^4+3x^2+1)$. the help is appreciated. thank you.
- 157
3
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1
answer
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Partial Fractions Question
I am currently doing a Laplace past exam question and I can't quite figure out the partial fraction area of the question. It is as follows
$$ Y(p) = \dfrac{A}{p^2} + \dfrac{B}{p} + \dfrac {C(p+2)}{(...
- 43
2
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0
answers
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Are there applications of partial fraction decomposition ( of a rational function) outside integration problems?
I've been recently acquainted with a well known technique called " partial fraction decomposition" which allows, for example to express $\frac {x} {x^2-1}$ as $\frac {1}{2(x+1)} + \frac {1} ...
- 1,796
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0
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Resolve $ \dfrac{m^n}{(a^n-b^n)(a^{n+1}-b^{n+1})}$ where m = a $\times b$ into partial fractions
Find partial fraction of $ \dfrac{m^n}{(a^n-b^n)(a^{n+1}-b^{n+1})}$ where m = a $\times b$
$ \dfrac{m^n}{(a^n-b^n)(a^{n+1}-b^{n+1})}$ where m = a $\times b$
We can write it for partial fraction :
...
- 10k
2
votes
1
answer
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How to expand $\frac{5}{(x+1)(x^2-1)}$ into partial fractions
I know how to do these problems, but this one is giving me some trouble:
Expand the following into partial fractions$$\frac{5}{(x+1)(x^2-1)}$$
Should I break it down into:
$$\frac A{x+1}+\frac B{x-1}...
1
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0
answers
54
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A quick way for decomposing fractions
The complete method for decomposing fractions is obvious . For example $y = \frac{2x+1}{(x-1)(x+3)} = \frac{a}{x-1} + \frac{b}{x+3} = \frac{a(x+3) + b(x-1)}{(x-1)(x+3)} \Rightarrow $$
\left\{
\begin{...
- 4,359
1
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0
answers
248
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Why did this incorrect partial fraction decomposition produce the correct answer?
I was reviewing a classmate (call him Bob)'s work on an integration of a rational expression (although integration is involved, it's beyond the scope of this question).
The problem was:
$$\int\frac{...
- 113
1
vote
1
answer
65
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integral problem $\int \frac{2 \lambda a}{\mathbf{ (e^{at}-1)\lambda \sigma^2+2ae^{-at}}}dt $
Does anybody know how to tackle the below integral? I am analyzing a formula derivation where this appears as the final calculation, but I don't know how to get it solved
$$\int \frac{2 \lambda a}{\...
- 1,137
1
vote
1
answer
54
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Integration by partial-fractions, I´m stuck in this one.
I don´t really know how get the factors in the denominator which allow me to use a case
$\int\frac{x^2+1}{x^2-x} dx$
- 77
1
vote
1
answer
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Combining two fractions involing powers of x
Is there any way i can write
$x^a+x^b$ as d$x^c$
Im considering writing letting $a=a-1$ and partial fractions but im getting really confused.
- 320
0
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0
answers
180
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Question on partial fractions; why numerator has to be one lower degree than denominator?
When decomposing into a partial fraction, why does the highest degree of the numerator have to be one lower than the numerator?
For example:
$\frac{x}{x^3-1} = \frac{a}{x-1} + \frac{bx+c}{x^2+x+1}$
...
- 1,190
0
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0
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52
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Partial Fractions $\frac{2}{s^2+4} = \frac{As+B}{s^2+4}$
I have this relatively simple partial fraction
$$\frac{2}{s^2+4} = \frac{As+B}{s^2+4}$$
I multiply each side by $(s^2+4)$ and all that remains is $2 = As + B$. Then can I match the coefficients up ...
- 2,409
0
votes
3
answers
51
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Partial fraction expansion inquiry
How can I expand $\frac{a + 5}{(a^2-1)(a+2)}$ so that the sum of partial fractions is equal to $\frac{1}{a-1} - \frac{2}{a+1} + \frac{1}{a+2}$ ?
Thanks in advance!
- 631
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Mistake in the computation via partial fractions
This is a computation made in Titchmash's Introduction to Zeta functions. I was trying to reverse the computation. However, I kept missing factors.
Consider $\frac{1- xyz^2}{(1-z)(1-xz)(1-yz)(1-xyz)}...
- 8,550
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1
answer
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Find the Partial Fraction Decomposition
$\frac{2x^5+3x^4-3x^3-2x^2+x}{2x^2+5x+2}$, I am not sure as to where to start with this one; I have already done the factoring process of the denominator but not sure how to continue the algebraic ...
