R 12) Use a change of variables to evaluate the double integral f₂ 12xy dA over the square-shaped region given below. (HINT: Let u = x+y and v = x - y, and determine formulas for x and y in terms of u and v) 2 x-y=-1 (10) x+y=1 (1.2) x+4=3 (0-1) x-y=1 (2.1)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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R
12) Use a change of variables to evaluate the double integral f₂ 12xy dA over the square-shaped
region given below.
(HINT: Let u = x+y and v = x - y, and determine formulas for x and y in terms of u and v)
2
x-y=-1
(10)
x+y=1
(1.2)
x+4=3
(0-1)
x-y=1
(2.1)
Transcribed Image Text:R 12) Use a change of variables to evaluate the double integral f₂ 12xy dA over the square-shaped region given below. (HINT: Let u = x+y and v = x - y, and determine formulas for x and y in terms of u and v) 2 x-y=-1 (10) x+y=1 (1.2) x+4=3 (0-1) x-y=1 (2.1)
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