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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.4 - Problem 29e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.4 - Problem 29e

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# Solution: Setting up partial fraction decompositions Give

ISBN: 9780321570567 2

## Solution for problem 29E Chapter 7.4

Calculus: Early Transcendentals | 1st Edition

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Problem 29E

Setting up partial fraction decompositions Give the appropriate form of the partial fraction decomposition for the following functions.

$$\frac{2 x^{2}+3}{\left(x^{2}-8 x+16\right)\left(x^{2}+3 x+4\right)}$$

Step-by-Step Solution:

Problem 29E

Setting up partial fraction decompositions Give the appropriate form of the partial fraction decomposition for the following functions.

Solution

Step 1

In this problem we need to find the partial fraction decomposition for

Consider

Let us first see about Partial Fractions.

When a proper rational expression is decomposed into a sum of two or more rational expressions, it is known as Partial Fractions.

Consider

… (1)

Taking LCM we get,

Thus

Since the denominators of both sides are same, we can equate the numerator.

Equating the like terms from both sides, we get

… (3)

… (4)

By solving these four linear equations, we get the value of as

Thus (1) becomes,

Thus

Step 2 of 1

##### ISBN: 9780321570567

The answer to “?Setting up partial fraction decompositions Give the appropriate form of the partial fraction decomposition for the following functions.$$\frac{2 x^{2}+3}{\left(x^{2}-8 x+16\right)\left(x^{2}+3 x+4\right)}$$” is broken down into a number of easy to follow steps, and 21 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 29E from 7.4 chapter was answered, more than 449 students have viewed the full step-by-step answer. This full solution covers the following key subjects: fraction, partial, appropriate, form, decompositions. This expansive textbook survival guide covers 112 chapters, and 7700 solutions. The full step-by-step solution to problem: 29E from chapter: 7.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567.

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