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a. Find the Jacobian of the transformation x = 2u, y = 3uv and sketch the region G: 2≤2u ≤4, 3 ≤ 3uv ≤ 6, in the uv-plane. fff(x: f(x,y) dx dy = f(g(u,v),h(u,v))|J(u,v)| du dv to transform the integral R G b. Then use over G, and evaluate both integrals. a. The Jacobian is Choose the correct sketch of the region G below. O A. AV b. Write the integral over G. The integral is S S B. dv du. Evaluate the integrals. The evaluation for both integrals is Av 64 u C. 12 . (Type an exact answer.) u 4 6 2 3 X O D. dy dx into an integral AV u

a. Find the Jacobian of the transformation x = 2u, y = 3uv and sketch the region G: 2≤2u ≤4, 3 ≤ 3uv ≤ 6, in the uv-plane. fff(x: f(x,y) dx dy = f(g(u,v),h(u,v))|J(u,v)| du dv to transform the integral R G b. Then use over G, and evaluate both integrals. a. The Jacobian is Choose the correct sketch of the region G below. O A. AV b. Write the integral over G. The integral is S S B. dv du. Evaluate the integrals. The evaluation for both integrals is Av 64 u C. 12 . (Type an exact answer.) u 4 6 2 3 X O D. dy dx into an integral AV u

Advanced Engineering Mathematics
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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a. Find the Jacobian of the transformation x = 2u, y = 3uv and sketch the region G: 2≤2u ≤4, 3≤3uv ≤ 6, in the uv-plane. ffox. f(x,y) dx dy = f(g(u,v),h(u,v))|J(u,v)| du dv to transform the integral R G over G, and evaluate both integrals. b. Then use a. The Jacobian is Choose the correct sketch of the region G below. O A. AV b. Write the integral over G. The integral is S S OB. dv du. Evaluate the integrals. The evaluation for both integrals is AV C. . (Type an exact answer.) AV 12 4 6 2 3 X O D. dy dx into an integral Av u
Transcribed Image Text:a. Find the Jacobian of the transformation x = 2u, y = 3uv and sketch the region G: 2≤2u ≤4, 3≤3uv ≤ 6, in the uv-plane. ffox. f(x,y) dx dy = f(g(u,v),h(u,v))|J(u,v)| du dv to transform the integral R G over G, and evaluate both integrals. b. Then use a. The Jacobian is Choose the correct sketch of the region G below. O A. AV b. Write the integral over G. The integral is S S OB. dv du. Evaluate the integrals. The evaluation for both integrals is AV C. . (Type an exact answer.) AV 12 4 6 2 3 X O D. dy dx into an integral Av u
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