3. An R region of the XY plane is shown below: y = -8/a 2y +z = 4 y=-1/2 2y +a= -1 R If A is denoted the area of the region Ruy Corresponding to the image of R applying the change of variable u = xy and v = 2y + x, then it is true that

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

Answer the question shown in the picture

a(u, v)
8(x, y)
A) A= 35
= 2y + x
and
8(u, v)
8(1, y)
B) A= 32
= 2y + x
and
8(u, v)
a(1, y)
= 2y – 1
C) A= 32
and
8(u, v)
a(x, y)
= 2y – I
D) A= 35
and
Transcribed Image Text:a(u, v) 8(x, y) A) A= 35 = 2y + x and 8(u, v) 8(1, y) B) A= 32 = 2y + x and 8(u, v) a(1, y) = 2y – 1 C) A= 32 and 8(u, v) a(x, y) = 2y – I D) A= 35 and
3. An R region of the XY plane is shown below:
y = -8/a
2y +z = 4
y=-1/2
2y +a= -1
R
If A is denoted the area of the region Ruy Corresponding to the image of
R applying the change of variable u = xy and v = 2y + x, then it is true
that
Transcribed Image Text:3. An R region of the XY plane is shown below: y = -8/a 2y +z = 4 y=-1/2 2y +a= -1 R If A is denoted the area of the region Ruy Corresponding to the image of R applying the change of variable u = xy and v = 2y + x, then it is true that
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