a. Find the Jacobian of the transformation x=2u, y=4uv and sketch the region G. 2<2u≤6, 4s4uv≤ 12, in the uv-plane 6 12 b. Then use • SS₁(x,y) dx Av ) dx dy = $1(g(u, v) G a. The Jacobian is Choose the correct sketch of the region G below. OA. The integral is f(g(u,v) h(u,v)) J(u,v) du dv to transform the integral b. Write the integral over G 11 S S dv du. OB. Evaluate the integrals The evaluation for both integrals is (Type an exact answer.) S S % dy dx into an integral over G, and evaluate both integrals 2 4 Q O C. OD.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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a. Find the Jacobian of the transformation x=2u, y=4uv and sketch the region G: 2≤2u≤6, 4≤4uv ≤ 12, in the uv-plane.
6 12
b. Then use
Av
Sff(x,y)
R
13
a. The Jacobian is
Choose the correct sketch of the region G below.
O A.
) dx dy =
b. Write the integral over G.
The integral is
-SS f(g(u,v).
G
JJ
(u,v),h(u,v))|J(u,v)| du dv to transform the integral
dv du.
B.
Evaluate the integrals.
The evaluation for both integrals is (Type an exact answer.)
u
2
S
4
dy dx into an integral over G, and evaluate both integrals.
X
...
O C.
1₁
D.
Transcribed Image Text:← a. Find the Jacobian of the transformation x=2u, y=4uv and sketch the region G: 2≤2u≤6, 4≤4uv ≤ 12, in the uv-plane. 6 12 b. Then use Av Sff(x,y) R 13 a. The Jacobian is Choose the correct sketch of the region G below. O A. ) dx dy = b. Write the integral over G. The integral is -SS f(g(u,v). G JJ (u,v),h(u,v))|J(u,v)| du dv to transform the integral dv du. B. Evaluate the integrals. The evaluation for both integrals is (Type an exact answer.) u 2 S 4 dy dx into an integral over G, and evaluate both integrals. X ... O C. 1₁ D.
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