Find the partial fraction decomposition. 7x+116 (x-4) (x+ 5) Choose the correct pattern for the decomposition below, and fill in any answer boxes to complete your choice. O A. (x- 4) (x + 5) O B. (x – 4) (x- 4)² (x + 5) (x- 4) (x- 4) (x+5) O D. (x-4) (x+5)
Find the partial fraction decomposition. 7x+116 (x-4) (x+ 5) Choose the correct pattern for the decomposition below, and fill in any answer boxes to complete your choice. O A. (x- 4) (x + 5) O B. (x – 4) (x- 4)² (x + 5) (x- 4) (x- 4) (x+5) O D. (x-4) (x+5)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![## Partial Fraction Decomposition
**Problem:**
Find the partial fraction decomposition of the following expression:
\[
\frac{7x + 116}{(x - 4)^2 (x + 5)}
\]
**Task:**
Choose the correct pattern for the decomposition below and fill in any answer boxes to complete your choice.
### Options:
**A.**
\[
\frac{\square}{(x - 4)} + \frac{x + \square}{(x + 5)}
\]
**B.**
\[
\frac{\square}{(x - 4)} + \frac{\square}{(x - 4)^2} + \frac{\square}{(x + 5)}
\]
**C.**
\[
\frac{x - \square}{(x - 4)} + \frac{x - \square}{(x - 4)^2} + \frac{\square}{x}
\]
**D.**
\[
\frac{\square}{(x - 4)^2} + \frac{\square}{(x + 5)}
\]
### Instructions:
Select the appropriate pattern for the decomposition from the options provided and fill in the blanks with correct expressions or coefficients.
---
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Transcribed Image Text:## Partial Fraction Decomposition
**Problem:**
Find the partial fraction decomposition of the following expression:
\[
\frac{7x + 116}{(x - 4)^2 (x + 5)}
\]
**Task:**
Choose the correct pattern for the decomposition below and fill in any answer boxes to complete your choice.
### Options:
**A.**
\[
\frac{\square}{(x - 4)} + \frac{x + \square}{(x + 5)}
\]
**B.**
\[
\frac{\square}{(x - 4)} + \frac{\square}{(x - 4)^2} + \frac{\square}{(x + 5)}
\]
**C.**
\[
\frac{x - \square}{(x - 4)} + \frac{x - \square}{(x - 4)^2} + \frac{\square}{x}
\]
**D.**
\[
\frac{\square}{(x - 4)^2} + \frac{\square}{(x + 5)}
\]
### Instructions:
Select the appropriate pattern for the decomposition from the options provided and fill in the blanks with correct expressions or coefficients.
---
**Help Options:**
- **Help me solve this**
- **View an example**
- **Get more help**
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