a. Find the Jacobian of the transformation x = 2u, y = uv and sketch the region G: 2≤2u≤4, 1≤ uv≤ 2, in the uv-plane. 4 2 y S !! f(g(u,v),h(u,v))|J(u,v)| du dv to transform the integral S S X 2 1 SS₁ R evaluate both integrals. b. Then use a. The Jacobian is Choose the correct sketch of the region G below. A. f(x,y) dx dy = b. Write the integral over G. The integral is }} dv du. Evaluate the integr The evaluation for both integrals is B. (Type an exact answer.) 12- u dy dx into an integral over G, and Av 6- u

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 = 2u, y = uv and sketch the region G: 2≤2u≤4, 1≤uv ≤ 2, in the uv-plane.
4 2
b. Then use
R
evaluate both integrals.
SS₁(x,y) dx dy=fff(g(u
a. The Jacobian is
A.
3-
Choose the correct sketch of the region G below.
b. Write the integral over G.
The integral is
¶¶f(g(u,v),h(u,v))\J(u,v)] du dv to transform the integral
S S
G
dv du.
Evaluate the integrals.
The evaluation for both integrals is
B.
(Type an exact answer.)
C.
AV
12
2
1
dy dx into an integral over G, and
D.
AV
6-
Transcribed Image Text:a. Find the Jacobian of the transformation x = 2u, y = uv and sketch the region G: 2≤2u≤4, 1≤uv ≤ 2, in the uv-plane. 4 2 b. Then use R evaluate both integrals. SS₁(x,y) dx dy=fff(g(u a. The Jacobian is A. 3- Choose the correct sketch of the region G below. b. Write the integral over G. The integral is ¶¶f(g(u,v),h(u,v))\J(u,v)] du dv to transform the integral S S G dv du. Evaluate the integrals. The evaluation for both integrals is B. (Type an exact answer.) C. AV 12 2 1 dy dx into an integral over G, and D. AV 6-
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