a. Find the Jacobian of the transformation x = 4u, y = uv and sketch the region G: 4 s4us 8, 1 suv≤2, in the uv-plane. 82 b. Then use fff(x,y) dx dy = fff(g(u.v),h(u,v)) J(u,v) du dv to transform the integral S S % R 4 1 G a. The Jacobian is 4 Choose the correct sketch of the region G below. OA. b. Write the integral over G. OB. AV -6- Q (... dy dx into an integral over G, and evaluate both integrals. O C. AV 124 OD. OU

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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a. Find the Jacobian of the transformation x = 4u, y = uv and sketch the region G: 4 ≤ 4us 8, 1 s uv≤2, in the uv-plane.
8 2
b. Then use
fff(x,y) dx dy=fff(g(u, v),h(u,v)) J(u,v) du dv to transform the integral
R
G
a. The Jacobian is
Choose the correct sketch of the region G below.
OA.
b. Write the integral over G.
The integral is dv du.
Evaluate the integrals.
OB.
AV
-6-
Q
S S %
4 1
(...)
dy dx into an integral over G, and evaluate both integrals.
O C.
AV
124
Q
OD.
Transcribed Image Text:a. Find the Jacobian of the transformation x = 4u, y = uv and sketch the region G: 4 ≤ 4us 8, 1 s uv≤2, in the uv-plane. 8 2 b. Then use fff(x,y) dx dy=fff(g(u, v),h(u,v)) J(u,v) du dv to transform the integral R G a. The Jacobian is Choose the correct sketch of the region G below. OA. b. Write the integral over G. The integral is dv du. Evaluate the integrals. OB. AV -6- Q S S % 4 1 (...) dy dx into an integral over G, and evaluate both integrals. O C. AV 124 Q OD.
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