*Q4: [Exercise 30] By making the coordinate transformation y u(x, y) = x + ², v(x, y) = 22²₁ 2 evaluate the double integral x + y 1-] (7³) sin v). I = where A is the triangular region Y COS (¹7) de dy. (* dx Т with vertices at (x, y) = (0,0), (2,0) and (1,1). Extra: can you verify your answer by evaluating I directly without this transforma- tion?
*Q4: [Exercise 30] By making the coordinate transformation y u(x, y) = x + ², v(x, y) = 22²₁ 2 evaluate the double integral x + y 1-] (7³) sin v). I = where A is the triangular region Y COS (¹7) de dy. (* dx Т with vertices at (x, y) = (0,0), (2,0) and (1,1). Extra: can you verify your answer by evaluating I directly without this transforma- tion?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![*Q4: [Exercise 30] By making the coordinate transformation
x + y
2
u(x, y)
evaluate the double integral
where A is the triangular region
tion?
=
v(x, y)
Y
=
-
x y
1 = [[ sin (= +") cos (²7") dr dy.
I
2
2
x - Y
2
→ X
2
with vertices at (x, y) = (0,0), (2,0) and (1,1).
Extra: can you verify your answer by evaluating I directly without this transforma-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73001e82-7a92-4cbf-ae31-e9298bb78d6a%2F647d888f-0ee5-49f5-b481-11363cdd17d3%2F58d4ten_processed.png&w=3840&q=75)
Transcribed Image Text:*Q4: [Exercise 30] By making the coordinate transformation
x + y
2
u(x, y)
evaluate the double integral
where A is the triangular region
tion?
=
v(x, y)
Y
=
-
x y
1 = [[ sin (= +") cos (²7") dr dy.
I
2
2
x - Y
2
→ X
2
with vertices at (x, y) = (0,0), (2,0) and (1,1).
Extra: can you verify your answer by evaluating I directly without this transforma-
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