Search results

  1. V

    HSC 2013 MX2 Marathon (archive)

    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...
  2. V

    Polynomial Proof

    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...
  3. V

    Polynomial Proof

    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...
  4. V

    4 Unit Revising Marathon HSC '10

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

    Websites for Mathematics Extension 2

    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...
  7. V

    Websites for Mathematics Extension 2

    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.
  8. V

    Implicit Differentiation

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

    Complex numbers

  10. V

    Taking Absolute Cases 2

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

    Taking Absolute Cases 2

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

    Quadratics

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

    Limits Problems

  15. V

    Quadratics

  16. V

    Inverse Fuction

    The Otherwise method:
  17. V

    Inequalities

    Is not the first condition a > b?
  19. V

    Textbook of IMO Questions

    I mean an ebook which contains all the questions from 1959-2008 and each year we can add the new problems to it. I have actually contacted IMO and asked them about the supports they can provide.
  20. V

    Textbook of IMO Questions

    Good resources, but I still see the need for such ebook necessary, we can use all the resources that you have mentioned.
  21. V

    Textbook of IMO Questions

    Is there currently any textbook that has the questions and aswers of IMO questions? If the answer is no, then I am willing to write a free ebook which contains all IMO questions and answers. (from the very beginning until now) I can write this free ebook in Persian and English and if there...
  22. V

    Perelman in Subway

    I do not know how much the information at http://grigoriperelman.com/ are correct but there are two interesting things there: Grisha Proved Fermat's Last Theorem at the age of twelve but kept it to himself. He Now works at McDonald's Restaurant in St Petersburg.
  23. V

    imo 2008

    I look at maths as a game, you first try to play this game and and then you enjoy doing it such that you are addicted to it and you can not leave it and do something else.
Top