Use the given transformation to evaluate the given integral, where R is the region bounded by the ellipse 10x² - xy + 10y² = 8. L=ff(10x² - xy + 10y²) dA; x = √8/19 u √8/21v, y = √8/19 u + √8/21 v L =
Use the given transformation to evaluate the given integral, where R is the region bounded by the ellipse 10x² - xy + 10y² = 8. L=ff(10x² - xy + 10y²) dA; x = √8/19 u √8/21v, y = √8/19 u + √8/21 v L =
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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Transcribed Image Text:Use the given transformation to evaluate the given integral, where R is the region bounded by the ellipse 10x² - xy + 10y² = 8.
L = SSR(10x² - xy + 10y²) dA;
L =
x = /8/19u-√8/21v,
y = √8/19u + √8/21 v
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