[10] (5) GIVEN: a > 0, -a ≤ x ≤ a - (4x) +505 = (x, y) 0 ≤ y ≤ R √a²-x² 2 2 EVALUATE: A = √√√x² + y² + a² dxdy Ꮖ (-a,0) R = / (a,0)
[10] (5) GIVEN: a > 0, -a ≤ x ≤ a - (4x) +505 = (x, y) 0 ≤ y ≤ R √a²-x² 2 2 EVALUATE: A = √√√x² + y² + a² dxdy Ꮖ (-a,0) R = / (a,0)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
For the first image attached please do the calculations similar to the second image attached please I would really appreciate it
![[15] (5)
GIVEN: a > 0, R =
(x,
EVALUATE: A = √y dady
T: R
R
R* = {(1, 0)| 0 5 0 55 20 }
osrsa
-a ≤ x ≤ a
53
0 ≤ y ≤ √a²-x²
πα a
= [[ins
}}
√ z bzdy = [(rsino) r drdo
у вх ву
R*
Y
در الله
=
de
HINT: Use the polar
transformation
T(1₂0) = (x, y)
-[-₁-1]. α³
3
R
p² sino drdo
X
T
TC
= = [0x0/" - $ [+²1 2₂
=
([^simodo) (√²+² dr)
:) (6'
ра
2
ja
R
x =
y =
bor
a
r cor
r sing
Let DT = r](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe71675ac-ea65-453d-898a-3045432db6b0%2Ff378aad9-3a84-4633-b395-cdb383b87271%2F6gbp05k_processed.png&w=3840&q=75)
Transcribed Image Text:[15] (5)
GIVEN: a > 0, R =
(x,
EVALUATE: A = √y dady
T: R
R
R* = {(1, 0)| 0 5 0 55 20 }
osrsa
-a ≤ x ≤ a
53
0 ≤ y ≤ √a²-x²
πα a
= [[ins
}}
√ z bzdy = [(rsino) r drdo
у вх ву
R*
Y
در الله
=
de
HINT: Use the polar
transformation
T(1₂0) = (x, y)
-[-₁-1]. α³
3
R
p² sino drdo
X
T
TC
= = [0x0/" - $ [+²1 2₂
=
([^simodo) (√²+² dr)
:) (6'
ра
2
ja
R
x =
y =
bor
a
r cor
r sing
Let DT = r
![[10] (5)
GIVEN: a > 0,
R = {(x, y)
(x, y)
-a ≤ x ≤ a
0 ≤ y ≤
√a²-x²
2
EVALUATE: A = √√√x² + y² + a² dxdy
R
(-a,0)
R =
/ (a,0)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe71675ac-ea65-453d-898a-3045432db6b0%2Ff378aad9-3a84-4633-b395-cdb383b87271%2F368gah_processed.png&w=3840&q=75)
Transcribed Image Text:[10] (5)
GIVEN: a > 0,
R = {(x, y)
(x, y)
-a ≤ x ≤ a
0 ≤ y ≤
√a²-x²
2
EVALUATE: A = √√√x² + y² + a² dxdy
R
(-a,0)
R =
/ (a,0)
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