Recent content by teleport

and why is it 0? what does the integrand not being defined at (0,0) has to do with that? by a cut do u mean to make a line connecting the 2 ellipses? could u explain more please?

checked it and still got the same. is it allowed to say 9x^2 + 16y^2 = 144 on that integral? that's something I'm using. for ii, if u could mention some of the methods u have in mind, i might recognize it as something given in class. thnx

got pi/6 for i. didn't use green's for that. the other way is easier. for ii u can't use green's since it would either be too complicated or impossible to integrate. yes i know green's thm. sorry for not showing any work. i just don't know what to do for ii.

Homework Statement (i) Evaluate \int_C \dfrac{-ydx + xdy}{9x^2 + 16y^2} when C is the ellipse \dfrac{x^2}{16} + \dfrac{y^2}{9} = 1 (ii) Use the ans to (i) to evaluate the integral along C' = ellipse: \dfrac{x^2}{25} + \dfrac{y^2}{16} = 1 Homework Equations The...

penguino: no as we are where we were last time. not to mention there's a mistake in ur derivation.

ah? you have r^6 on the left and r^4 on the right...

I strongly believe the conversion is correct. I don't even know how to set up the integral in cartesian coordinates! What's the integrand?

Homework Statement find the area bounded by one of the four loops of: (x^2 + y^2)^3 = 4x^2y^2 Homework Equations The Attempt at a Solution I converted to polar coordinates and got r^{3/2} = sin^2(2\theta) The typical formula for polar integration for area would imply that I...

awesome :) just what i needed. thnx

but why isn't it possible for an element besides 1, -1, to have order 2 so that its inverse is itself?

actually it's p^n for some positive integer n, but the same thing...

Can we just say that if F has characteristic p, then |G| = p - 1. Since G is cyclic then it isomorphic to Z*_p (which is also cyclic), and then use Wilson's Theorem and the isomorphism to conclude the product is -1.

Homework Statement Let F be a finite field. Show that the product of all non-zero elements of F is -1. Homework Equations An example of this is Wilson's Theorem. The Attempt at a Solution Let G be the multiplicative group of non-zero elements of F. Then G is cyclic. Let a...

Kinda funny ones. BTW the other day I saw someone in my class with a "Math is sweet!" T-shirt. ha. Thanks.

Is it just (25 + 360 - 356)/2 ? Makes sense to me. Confirmation?