Find (3x + 2y)dA where R is the parallelogram with vertices (0,0), (3,-1), (4,-4), and R (7,-5). Use the transformation x = 3u + 4v, y = - u - 4v.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Find \(\iint_R (3x + 2y) \, dA\) where \(R\) is the parallelogram with vertices \((0,0)\), \((3, -1)\), \((4, -4)\), and \((7, -5)\).

Use the transformation \(x = 3u + 4v, \, y = -u - 4v\).
Transcribed Image Text:Find \(\iint_R (3x + 2y) \, dA\) where \(R\) is the parallelogram with vertices \((0,0)\), \((3, -1)\), \((4, -4)\), and \((7, -5)\). Use the transformation \(x = 3u + 4v, \, y = -u - 4v\).
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