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a. Find the Jacobian of the transformation x=u, y = 3uv and sketch the region G: 1 sus2, 3s3uv s6, in the uv-plane. 2 6 f(g(u,v),h(u,v))|J(u,v)| du dv to transform the integral y dy dx into an integral over G, and evaluate both integrals. b. Then use dx dy = R 1 3 a. The Jacobian is Choose the correct sketch of the region G below. OA. OB. Oc. OD. AV 42- Av 6- b. Write the integral over G. IJロ The integral is dv du. Evaluate the integrals. The evaluation for both integrals is (Type an exact answer.) MININI

a. Find the Jacobian of the transformation x=u, y = 3uv and sketch the region G: 1 sus2, 3s3uv s6, in the uv-plane. 2 6 f(g(u,v),h(u,v))|J(u,v)| du dv to transform the integral y dy dx into an integral over G, and evaluate both integrals. b. Then use dx dy = R 1 3 a. The Jacobian is Choose the correct sketch of the region G below. OA. OB. Oc. OD. AV 42- Av 6- b. Write the integral over G. IJロ The integral is dv du. Evaluate the integrals. The evaluation for both integrals is (Type an exact answer.) MININI

Algebra & Trigonometry with Analytic Geometry
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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a. Find the Jacobian of the transformation x =u, y = 3uv and sketch the region G: 1sus2, 3s3uv s6, in the uv-plane. 2 6 b. Then use dx dy = f(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. R G a. The Jacobian is Choose the correct sketch of the region G below. O A. OB. OC. OD. Av Av Av 42- 7- 1-1 b. Write the integral over G. The integral is dv du. Evaluate the integrals. The evaluation for both integrals is (Type an exact answer.) Click to select your answer(s). 林
Transcribed Image Text:a. Find the Jacobian of the transformation x =u, y = 3uv and sketch the region G: 1sus2, 3s3uv s6, in the uv-plane. 2 6 b. Then use dx dy = f(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. R G a. The Jacobian is Choose the correct sketch of the region G below. O A. OB. OC. OD. Av Av Av 42- 7- 1-1 b. Write the integral over G. The integral is dv du. Evaluate the integrals. The evaluation for both integrals is (Type an exact answer.) Click to select your answer(s). 林
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