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a. Find the Jacobian of the transformation x = 3u, y = uv and sketch the region G: 3 ≤3u ≤ 6, 1 suv ≤ 2, in the uv-plane. 62 b. Then use e ſſf(x,y) dx dy = fff(g(u,v),h(u,v)|J(u.v) du dv to transform the integral dy dx into an integral over G, and evaluate both integrals. X R a. The Jacobian is. Choose the correct sketch of the region G below. O A. 6 G Q The integral is b. Write the integral over G. 0 SS dvdu. OB. Evaluate the integrals. The evaluation for both integrals is. (Type an exact answer.) Q 31 *** O C. ||||||||||| Av 12- \¯ÙÙ³ N Q Q O D. Q Q

a. Find the Jacobian of the transformation x = 3u, y = uv and sketch the region G: 3 ≤3u ≤ 6, 1 suv ≤ 2, in the uv-plane. 62 b. Then use e ſſf(x,y) dx dy = fff(g(u,v),h(u,v)|J(u.v) du dv to transform the integral dy dx into an integral over G, and evaluate both integrals. X R a. The Jacobian is. Choose the correct sketch of the region G below. O A. 6 G Q The integral is b. Write the integral over G. 0 SS dvdu. OB. Evaluate the integrals. The evaluation for both integrals is. (Type an exact answer.) Q 31 *** O C. ||||||||||| Av 12- \¯ÙÙ³ N Q Q O D. Q Q

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 = 3u, y = uv and sketch the region G: 3≤3u≤6, 1 ≤ uv ≤ 2, in the uv-plane. 6 2 S S & X 3 1 b. Then use a. The Jacobian is Sf(x,y) dx dy = f(g(u.v) f R AV 6- Choose the correct sketch of the region G below. O A. u Sff(g(u,v).h(u,v))|J(u,v) du dv to transform the integral b. Write the integral over G. G The integral is dvdu. S S Evaluate the integrals. The evaluation for both integrals is (Type an exact answer.) B. dy dx into an integral over G, and evaluate both integrals. O C. AV 12- D. V
Transcribed Image Text:a. Find the Jacobian of the transformation x = 3u, y = uv and sketch the region G: 3≤3u≤6, 1 ≤ uv ≤ 2, in the uv-plane. 6 2 S S & X 3 1 b. Then use a. The Jacobian is Sf(x,y) dx dy = f(g(u.v) f R AV 6- Choose the correct sketch of the region G below. O A. u Sff(g(u,v).h(u,v))|J(u,v) du dv to transform the integral b. Write the integral over G. G The integral is dvdu. S S Evaluate the integrals. The evaluation for both integrals is (Type an exact answer.) B. dy dx into an integral over G, and evaluate both integrals. O C. AV 12- D. V
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