Open study

is now brainly

With Brainly you can:

  • Get homework help from millions of students and moderators
  • Learn how to solve problems with step-by-step explanations
  • Share your knowledge and earn points by helping other students
  • Learn anywhere, anytime with the Brainly app!

A community for students.

Evaluate the integral by using the following transformation: ∫∫(R) x*y^2 dA, where R is the region bounded by the lines x-y=2, x-y=-1, 2x+3y=1, and 2x+3y=0; let x=1/5(3u+v), y=1/5(v-2u)

See more answers at
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Join Brainly to access

this expert answer


To see the expert answer you'll need to create a free account at Brainly

so, where are you stuck?
Well, 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.
I do have the right answer if you want it.

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

your steps are fine, but I would just convert the lines to u and v instead of the "critical xy points"
oh? How would I do that? That sounds a lot easier.
just sub in x=1/5(3u+v), y=1/5(v-2u) into each equation for the boundary of R
Ohhhh, alright. So once I converted to uv form would I just replot the graphs and look for my bounds?
yeah, it will most likely be a square in the u v plane
Gotcha, Ill rework the problem. That sounds a lot better than just looking for the points which takes forever.
good luck!

Not the answer you are looking for?

Search for more explanations.

Ask your own question