Use the given transformation to evaluate the integral a) ff (x − 3y) dA where R is the triangular region with vertices (0,0), (2,1), and (1,2); R with x = 2u+v, y = u + 2v b) ff (x²) d4 where R is the region bounded by the ellipse 9x² + 4y² = 36 R with x = 2u, y = 3v
Use the given transformation to evaluate the integral a) ff (x − 3y) dA where R is the triangular region with vertices (0,0), (2,1), and (1,2); R with x = 2u+v, y = u + 2v b) ff (x²) d4 where R is the region bounded by the ellipse 9x² + 4y² = 36 R with x = 2u, y = 3v
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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show full and complete procedure HANDWRITTEN only. please answer a) and b) as they are subparts of the same question

Transcribed Image Text:Use the given transformation to evaluate the integral
a) ff (x
(x − 3y) dA where R is the triangular region with vertices (0,0), (2,1), and (1,2);
R
with x = 2u + v, y = u + 2v
b) ff (x²) dA where R is the region bounded by the ellipse 9x² + 4y² = 36
R
with x = 2u, y = 3v
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