Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question

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 \( v = -x - 2y \).
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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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