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Use the transformation u = 3x + 4y, v=x+4y to evaluate the given integral for the region R bounded by the lines y = - SS (3x²+ R 3 1 -2x+1, y=-x+2, y=-x, and y=-x+2. + 16xy + 16y²) dx dy

Use the transformation u = 3x + 4y, v=x+4y to evaluate the given integral for the region R bounded by the lines y = - SS (3x²+ R 3 1 -2x+1, y=-x+2, y=-x, and y=-x+2. + 16xy + 16y²) dx dy

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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Use the transformation u = 3x + 4y, v = x + 4y to evaluate the given integral for the region R bounded by the lines y = SS R (3x² + 16xy + 16y²) dx dy 11 (3x2² +1 R (Simplify your answer.) + 16xy + 16y²) dx dy = 3 3 1 -2x+1, y = -x + 2, y = -x, ar X, and y=-. 1 = - = -x + 2. 4
Transcribed Image Text:Use the transformation u = 3x + 4y, v = x + 4y to evaluate the given integral for the region R bounded by the lines y = SS R (3x² + 16xy + 16y²) dx dy 11 (3x2² +1 R (Simplify your answer.) + 16xy + 16y²) dx dy = 3 3 1 -2x+1, y = -x + 2, y = -x, ar X, and y=-. 1 = - = -x + 2. 4
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