Question
Asked Nov 19, 2019
12 views

Need help integrating attached pullback please

= x2, y = 2x2 and x = 1. Evaluate
3) Let R be the region bounded by y
xy2 dxdy
Vu, y
v and first pulling the integral back to an integral in u, v space
by setting x
help_outline

Image Transcriptionclose

= x2, y = 2x2 and x = 1. Evaluate 3) Let R be the region bounded by y xy2 dxdy Vu, y v and first pulling the integral back to an integral in u, v space by setting x

fullscreen
check_circle

Expert Answer

star
star
star
star
star
1 Rating
Step 1

Let R be the region bounded by y = x2 and y = 2x2 and x = 1.

help_outline

Image Transcriptionclose

Now, we need to evaluate ff xy2 dx dy by setting x the integral back to an integral in u, v space. Vu, y v and first pilling

fullscreen
Step 2

We know th...

help_outline

Image Transcriptionclose

SS f(x, y) dx I g (u, v) J du dv, where J is the Jacobian Jacobian is defined as, |дх дх ди J ду ду дu av Also, y x2v = u, y 2x2 ->v - 2u and x 1> vu = 1 => u = 1. And for v u, v = 2u => u = 0 So, overall we got, v = u, v = 2u, u = 1 and u = 0. Thus, the integral in step-1 becomes (z" Vu v2/ du dv , where J is the Jacobian.

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Determine which of the following mappings are linear transformations by explicitly checking whether ...

A: Using the following properties of linear transformation,

question_answer

Q: I got this question right but how would I prove that it is divergent? I am unsure how I can break it...

A: According to the divergence test, if the limit of an is not zero, or does not exist, then the sum of...

question_answer

Q: Could you do questions 19. a), b), and c). There are two pictures but the problem goes together.

A: To prove the given set equalities (under given conditions)

question_answer

Q: Linear algebra

A: Click to see the answer

question_answer

Q: Suppose that we have 5 matrices A a 3 x 2 matrix, B a 2 x 3 matrix, C a 4 x 4 matrix, D a 3 x 2 matr...

A: Given dimensions of 5 matrices are,

question_answer

Q: Sanjay has borrowed ​$670 on his​ father's watch from a pawn shop. He has agreed to pay off the loan...

A: According to the given information:Principal amount (P) = $670Total Amount to be paid after 1 month ...

question_answer

Q: Use the Integral Test to determine whether the series is convergent or divergent. Σ ク2 n1 6 Evaluate...

A: The given series is,

question_answer

Q: 5. NONLINEAR ODE III Cosider for a function y : I C R R the IVP $(t) + ty(e) = (e) v(0)1 Plese find ...

A: Given non-linear initial value problem is,

question_answer

Q: I am asking this question again, because the last response I was given just gave that the the other ...

A: To invert the given polynomial in the polynomial ring over Z8.