Calculus, greens theorem circulation/flux.

[cobalt patio]

I don't really have an issue with greens theorem, or line integrals. But, I'm having difficulty setting up the parameterization for this curve. I'm not sure what to do with the absolute value.

Basically I need to setup r(t) and not sure how to set it up.

[verbal pulsar]

1. Wait patiently for a helper to come along.
2. Once someone helps you, say thank you and close the thread with:

+close

3. Feel free to nominate the person for helper of the week in #helper-nominations
4. Do not ping the mods, unless someone is breaking the rules.
5. If you're happy with the help you got here, and the server overall, you can contribute financially as well:

[tame marten]

Try drawing the curve first.

As for parametrization... Well, you can do it piecewise.

[cobalt patio]

oh, i've never set it up like that before. Looking at the shape that makes sense.

[tame marten]

Yeah. It's two parabolic pieces, after all.

Parametrizing each of them shouldn't be a problem.

[cobalt patio]

It looks like two parabolas one moving up and one moving downwards so I guess I would split these two things up

I'll try to tackle it now thanks

[tame marten]

You're welcome, good luck!

[cobalt patio]

These are my two curves, I think it's good but not 100% sure. I tend to mess up parameterization for solving these kinds of problems

[tame marten]

Should be y = 3 - x^2 and y = x^2 - 1, rather.

[tame marten]

Easy to see from the picture, too.

[cobalt patio]

+close