a. Find the Jacobian of the transformation x = 3u, y = 2uv and sketch the region G: 3≤3u≤9, 2s2uv s6, in the uv-plane. 96 SS₁(x,y) dx dy=. √√₁0 11- dy dx into an integral over G, and evaluate both integrals. R G X 3 b. Then use a. The Jacobian is Choose the correct sketch of the region G below. OA. b. Write the integral over G. - f(g(u.v),h(u,v)) J(u,v) du dv to transform the integral The integral is Idv du. 0 B. Evaluate the integrals. The evaluation for both integrals is. (Type an exact answer.) Q G CZE OC. Q O D.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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a. Find the Jacobian of the transformation x = 3u, y = 2uv and sketch the region G: 3≤3u≤9, 2s2uv s 6, in the uv-plane.
96
b. Then use 1(x,y) dx dy = fu
R
G
a. The Jacobian is
Choose the correct sketch of the region G below.
O A.
b. Write the integral over G.
f(g(u,v),h(u,v)) J(u,v) du dv to transform the integral
The integral is
IS dvdu.
17
B.
Evaluate the integrals.
The evaluation for both integrals is. (Type an exact answer.)
Q
G
3
dy dx into an integral over G, and evaluate both integrals.
CODE
OC.
Ly
SO D.
Transcribed Image Text:a. Find the Jacobian of the transformation x = 3u, y = 2uv and sketch the region G: 3≤3u≤9, 2s2uv s 6, in the uv-plane. 96 b. Then use 1(x,y) dx dy = fu R G a. The Jacobian is Choose the correct sketch of the region G below. O A. b. Write the integral over G. f(g(u,v),h(u,v)) J(u,v) du dv to transform the integral The integral is IS dvdu. 17 B. Evaluate the integrals. The evaluation for both integrals is. (Type an exact answer.) Q G 3 dy dx into an integral over G, and evaluate both integrals. CODE OC. Ly SO D.
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