AHH FINAL TOMORROW AND NEED DESPERATE HELP (CALC 3)

[Syringer]

I'm DESPERATE, I need help with this:

Suppose that C is the ellipse x^2 /3 + y^2 /5 =1 oriented counterclockwise, and R is the region enclosed by C. Verify Green's theorem for P = x^2*y^2, and Q = xy^2.

So for green's theorem I have to set up a double integral, but how do I set my limits for that stupid ellipse? Obviously if it were a circle it'd be easy, but not with the ellipse!

I've tried solving for x, and putting the +- sqrt in the first integral limit, and then -5 to 5 for the second, but come out with a non-real result. WHAT DO I DO???

 

[Heisenberg]

Maybe do it in cylindrical or spherical coordinates rather than cartesian?

 

[Syringer]

It's two dimensional though......

 

[Heisenberg]

Oh yeah. I always get Green's theorem confused with Stokes' theorem. What about polar coordinates or parametric equations?

 

[Syringer]

Originally posted by: Heisenberg
Oh yeah. I always get Green's theorem confused with Stokes' theorem. What about polar coordinates or parametric equations?

Polar doesn't seem possible with an ellipse..where does R go from??

 

[Heisenberg]

Originally posted by: Syringer

Originally posted by: Heisenberg
Oh yeah. I always get Green's theorem confused with Stokes' theorem. What about polar coordinates or parametric equations?

Polar doesn't seem possible with an ellipse..where does R go from??

I don't know, I'd have to sit down with the actual problem. Besides, it's been a couple of years since calc 3, so I'm pretty rusty. Usually when you have a limits problem like you're having, changing coordinates is a good place to start. Are you absolutely sure you get an imaginary number (did you work it out by hand) or is that just what the TI-89 says?

 

[MercenaryForHire]

Here's your advice.

STOP POSTING

Go seek actual assistance, not ATOT. Roomate, library, someone else you know has to be awake cramming. OT is not the proper place to be the morning before an exam.

- M4H

 

[Syringer]

 

[Krakerjak]

I suggest sleep.
If you are pulling your hair out on a problem
you usually just end up bald and without a solution,
get up in the morning with a fresh head (of hair).

I find that staying up too late before a final add too much additional stress that i do not need going into a final.

And as for calc. i only know engineering calc and it has been a while.
so im useless

 

[MercenaryForHire]

Originally posted by: Syringer

Wow, you're really getting that studying done.

stop posting || fail calc

Your choice.

- M4H

 

[TheFirm]

Originally posted by: MercenaryForHire

Originally posted by: Syringer

Wow, you're really getting that studying done.

stop posting || fail calc

Your choice.

- M4H

im gonna vote for being the most ruthless person on here =)

 

[MercenaryForHire]

Originally posted by: TheFirm

Originally posted by: MercenaryForHire

Originally posted by: Syringer

Wow, you're really getting that studying done.

stop posting || fail calc

Your choice.

- M4H

im gonna vote for being the most ruthless person on here =)

Your n00b is showing. I'm nothing compared to some of the other vultures that periodically circle over AT.

- M4H