A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Evaluate the integral by using the following transformation:
∫∫(R) x*y^2 dA, where R is the region bounded by the lines xy=2, xy=1, 2x+3y=1, and 2x+3y=0; let x=1/5(3u+v), y=1/5(v2u)
anonymous
 4 years ago
Evaluate the integral by using the following transformation: ∫∫(R) x*y^2 dA, where R is the region bounded by the lines xy=2, xy=1, 2x+3y=1, and 2x+3y=0; let x=1/5(3u+v), y=1/5(v2u)

This Question is Closed

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1so, where are you stuck?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Well, I tried doing the problem and I didn't get the right answer. Are these the correct steps to get to the answer? 1. Plot x/y coordinate graph. 2. Convert critical xy points to uv points. 3. find the Jacobian. 4. Set up the integral in terms of u and v with the jacobian.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I do have the right answer if you want it.

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1your steps are fine, but I would just convert the lines to u and v instead of the "critical xy points"

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0oh? How would I do that? That sounds a lot easier.

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1just sub in x=1/5(3u+v), y=1/5(v2u) into each equation for the boundary of R

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Ohhhh, alright. So once I converted to uv form would I just replot the graphs and look for my bounds?

TuringTest
 4 years ago
Best ResponseYou've already chosen the best response.1yeah, it will most likely be a square in the u v plane

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Gotcha, Ill rework the problem. That sounds a lot better than just looking for the points which takes forever.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.