Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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a. Find the Jacobian of the transformation x = u, y = uv and sketch the region G: 1<u<2, 1<uv<2, in the uv-plane. 2 2 f(x,y) dx dy = | f(g(u,v),h(u,v))|J(u,v)| du dv to transform the integral b. Then use dy dx into an integral over G, and evaluate both integrals. 1 G >| >
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Transcribed Image Text:a. Find the Jacobian of the transformation x = u, y = uv and sketch the region G: 1<u<2, 1<uv<2, in the uv-plane. 2 2 f(x,y) dx dy = | f(g(u,v),h(u,v))|J(u,v)| du dv to transform the integral b. Then use dy dx into an integral over G, and evaluate both integrals. 1 G >| >
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