9. Let R be the region in the first quadrant of the xy-plane bounded by the hyperbolas xy = 1, xy = 9 and the lines y = x, y = 4x. Use the transformation x u/v, y = uv with u > 0 and v > 0 to rewrite xy ) dx dy as an integral over an appropriate region G in the uv-plane. Then evaluate the uv-integral over G.
9. Let R be the region in the first quadrant of the xy-plane bounded by the hyperbolas xy = 1, xy = 9 and the lines y = x, y = 4x. Use the transformation x u/v, y = uv with u > 0 and v > 0 to rewrite xy ) dx dy as an integral over an appropriate region G in the uv-plane. Then evaluate the uv-integral over G.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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