first image attach please do the calculations similar to the second image attach please please answer everything correctly I would really appreciate if you would answer the answer should be 16/9 also this is not a graded question
first image attach please do the calculations similar to the second image attach please please answer everything correctly I would really appreciate if you would answer the answer should be 16/9 also this is not a graded question
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 attach please do the calculations similar to the second image attach
please please answer everything correctly I would really appreciate if you would answer
the answer should be 16/9 also this is not a graded question
![[10] (2) GIVEN: The square, ƏR, in the in the xy - plane with vertices A,B,C,D given by
A = (0,0), B = (1, 1), C = (0, 2), D=(−1,1)
Let R be the (finite) region of the xy - plane enclosed by ƏR,
and ƒ:R → R, ƒ (x,y) = √√y² — x²
FIND: f(x,y) dxdy
HINT: Consider T-¹(x, y) = (u, v),
U =
x+y
-x+y
Add extra
pages, as
needed.
D
R =
A
B
X
=
T
T-¹
1
V
P (x,y) T¹(x, y)
A
B
C
Fill out this table
D
P*
A*
B*
C*
D*
R* = N
Make, R*
U](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe343d170-4423-4dcd-9c75-f5f0118e0ff9%2Fb92eca53-3ad0-4809-ada0-d11e77d936fe%2Fbjico4o_processed.png&w=3840&q=75)
Transcribed Image Text:[10] (2) GIVEN: The square, ƏR, in the in the xy - plane with vertices A,B,C,D given by
A = (0,0), B = (1, 1), C = (0, 2), D=(−1,1)
Let R be the (finite) region of the xy - plane enclosed by ƏR,
and ƒ:R → R, ƒ (x,y) = √√y² — x²
FIND: f(x,y) dxdy
HINT: Consider T-¹(x, y) = (u, v),
U =
x+y
-x+y
Add extra
pages, as
needed.
D
R =
A
B
X
=
T
T-¹
1
V
P (x,y) T¹(x, y)
A
B
C
Fill out this table
D
P*
A*
B*
C*
D*
R* = N
Make, R*
U
![[10] (2) GIVEN: The parabola I: y = 1-x²
The path c is oriented from A = (0, 1) to B=(1,0)
on, I'₁.
I' is the arc of I, from A to B.
EVALUATE: The scalar integral: x ds
METHOD:
[: ĉ = (x, 1-x²), xe[0,1]
⇒ c'= (1, -22)
⇒> ||ć´|| = √/1+4x²
in fall = [x (2+42²) ³4
:.
11
(1
A
&•3[ (² + 4x*)*|*
1/2 [5√5-1]
0
r
B
Its
important
to
simplify
the final
answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe343d170-4423-4dcd-9c75-f5f0118e0ff9%2Fb92eca53-3ad0-4809-ada0-d11e77d936fe%2F8k5px2l_processed.png&w=3840&q=75)
Transcribed Image Text:[10] (2) GIVEN: The parabola I: y = 1-x²
The path c is oriented from A = (0, 1) to B=(1,0)
on, I'₁.
I' is the arc of I, from A to B.
EVALUATE: The scalar integral: x ds
METHOD:
[: ĉ = (x, 1-x²), xe[0,1]
⇒ c'= (1, -22)
⇒> ||ć´|| = √/1+4x²
in fall = [x (2+42²) ³4
:.
11
(1
A
&•3[ (² + 4x*)*|*
1/2 [5√5-1]
0
r
B
Its
important
to
simplify
the final
answer.
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