Recent content by vafa

Re: HSC 2014 4U Marathon Hint: Use the fundamental theorem of calculus: a polynomial of degree n, has n roots. Let set A be all the roots and let set B be A-1. From that you can see that B^2 is always a root. If B is a complex number and its modulus is bigger than one, you get an infinite...

I do not see any problem in Trebla's proof and I believe that it is correct. Could you please tell me what does showing E_n>0 have to do with turning point being concaving downwards? It is not important whether your turning points is concave downwards or upwards, all you want to show is that the...

Can you provide a mathematical proof for this statement? I have got a function, staring off at -10, has a maximum above the x axis, and again a minimum above x axis, and then comes back to -10 again. Here absolute minimum is -10 and the the turning points are above x axis, thus your statement...

a) Factorise a^3+b^3+c^3-3abc b) Using a) or otherwise, show that (x+y+z)/3>=(xyz)^(1/3)

Yes, they will. The project for the open source maths extension 2 textbook that I am doing actually was a google summer of code project where they actually sponsor selected projects by organizations, but because I am myself a student, I could not finish up the project in summer (United states...

fourunitmaths - Project Hosting on Google Code The project is still under development. I expect to finish it by next summer. Suggestions are welcome. The project is sponsored by google.

For some reasons, I can not upload files here. I have uploaded them at upload (tex3141592) If you need explanations, then please shout.

TeX for typesetting maths (Getting Started with TeX, LaTeX, and Friends - TeX Users Group) Pstricks for graphics (/PSTricks/main)

See the attached. (tex source attached as well). Hope this helps

Thanks for that, I am used to do my mathematics on my Linux machine and I sometimes do such mistakes.

The Otherwise method:

Is not the first condition a > b?