Use the given transformation to evaluate the integral. J (12x+12y) da, where R is the parallelogram with vertices (-2, 4), (2, -4), (4, -2), and (0, 6); x = X (u + v), y = (v - 2u)
Use the given transformation to evaluate the integral. J (12x+12y) da, where R is the parallelogram with vertices (-2, 4), (2, -4), (4, -2), and (0, 6); x = X (u + v), y = (v - 2u)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 3E
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Question
Use the given transformation to evaluate the integral.
(12x + 12y) dA | |
R |
(−2, 4),
(2, −4),
(4, −2),
and
(0, 6); x =
(u + v), y =
(v − 2u)
1 |
3 |
1 |
3 |
![Use the given transformation to evaluate the integral.
Jk (12x+12y) dA, where R is the parallelogram with vertices (−2, 4), (2, −4), (4, −2), and (0, 6); × = -
X
= 1/²/(u + v)₁ y =
y = 1/² (v-
2u)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a03be36-5dfa-4a37-af0e-f31c338c2b5f%2F663320f0-8da8-4ec4-8060-7b19acba364f%2Ffvwnxda_processed.png&w=3840&q=75)
Transcribed Image Text:Use the given transformation to evaluate the integral.
Jk (12x+12y) dA, where R is the parallelogram with vertices (−2, 4), (2, −4), (4, −2), and (0, 6); × = -
X
= 1/²/(u + v)₁ y =
y = 1/² (v-
2u)
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