Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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u
Let R be the region in the first quadrant of the xy-plane bounded by the hyperbolas xy = 1, xy = 4, and the lines y = x, y = 4x. Use the transformation x=, y = uv with u> 0 and v> 0 to
V
rewrite the integral below over an appropriate region G in the uv-plane. Then evaluate the uv-integral over G.
Vxy dxdy
R
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Transcribed Image Text:u Let R be the region in the first quadrant of the xy-plane bounded by the hyperbolas xy = 1, xy = 4, and the lines y = x, y = 4x. Use the transformation x=, y = uv with u> 0 and v> 0 to V rewrite the integral below over an appropriate region G in the uv-plane. Then evaluate the uv-integral over G. Vxy dxdy R
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