
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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3.1.4
![Find
\[
\iint\limits_R \frac{-6x - 5y}{-x - 2y} \, dA,
\]
where \( R \) is the parallelogram enclosed by the lines
\[
-6x - 5y = 0, \quad -6x - 5y = 5, \quad -x - 2y = 1, \quad -x - 2y = 4.
\]
Round your answer to four decimal places.
This can be done directly with a tedious computation, or can be done with a change of variables to transform the parallelogram into a rectangle.
Hint: Let \( u = -6x - 5y \) and \( v = -x - 2y \).](https://content.bartleby.com/qna-images/question/91ed8060-678c-4d36-a5c7-0e7a65a577a0/a7dd181b-27c7-4394-8f2f-9d13ee0e8150/x1j6ywa_thumbnail.png)
Transcribed Image Text:Find
\[
\iint\limits_R \frac{-6x - 5y}{-x - 2y} \, dA,
\]
where \( R \) is the parallelogram enclosed by the lines
\[
-6x - 5y = 0, \quad -6x - 5y = 5, \quad -x - 2y = 1, \quad -x - 2y = 4.
\]
Round your answer to four decimal places.
This can be done directly with a tedious computation, or can be done with a change of variables to transform the parallelogram into a rectangle.
Hint: Let \( u = -6x - 5y \) and \( v = -x - 2y \).
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