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Use the transformation u = 2x + y, v=x+4y to evaluate the given integral for the region R bounded by the lines y = - 2x + 3, y = - 2x + 4, y = - x, and y = -x+1. 4 √√ (2x². R (2x² +9xy + 4y2) dx dy √√ (2x² + 9xy + 4y²) dx dy = R (Type an integer or a simplified fraction.) (...

Use the transformation u = 2x + y, v=x+4y to evaluate the given integral for the region R bounded by the lines y = - 2x + 3, y = - 2x + 4, y = - x, and y = -x+1. 4 √√ (2x². R (2x² +9xy + 4y2) dx dy √√ (2x² + 9xy + 4y²) dx dy = R (Type an integer or a simplified fraction.) (...

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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!! (2x² R Use the transformation u = 2x + y, v = x + 4y to evaluate the given integral for the region R bounded by the lines y = - 2x + 3, y = 2x + 4, y = - 4 +9xy +4y²) dx dy SS R (Type an integer or a simplified fraction.) (2x² 1 + 9xy + 4y²) dx dy = -x, and y = 1 --x+1. 4
Transcribed Image Text:!! (2x² R Use the transformation u = 2x + y, v = x + 4y to evaluate the given integral for the region R bounded by the lines y = - 2x + 3, y = 2x + 4, y = - 4 +9xy +4y²) dx dy SS R (Type an integer or a simplified fraction.) (2x² 1 + 9xy + 4y²) dx dy = -x, and y = 1 --x+1. 4
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