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  1. Lieutenant_21

    HSC 2013 MX2 Marathon (archive)

    Re: HSC 2013 4U Marathon I am not going to be able to use BOS that much because the HSC is very close :$ Keep this thread alive guys! See you in uni :)
  2. Lieutenant_21

    HSC 2013 MX2 Marathon (archive)

    Re: HSC 2013 4U Marathon This is the standard proof. You get like 2 million results if you search "prove sqrt2 is irrational" on google.
  3. Lieutenant_21

    HSC 2013 MX2 Marathon (archive)

    Re: HSC 2013 4U Marathon $Cool complex numbers question. Can be tedious but definitely MX2 level, may be question 16 difficulty.$ $a) By equating imaginary parts in DeMoivre's formula prove that:$ sin(n\theta )=sin^{n}\theta \left \{ \binom{n}{1}cot^{n-1}\theta -\binom{n}{3}cot^{n-3}\theta...
  4. Lieutenant_21

    HSC 2013 MX2 Marathon (archive)

    Re: HSC 2013 4U Marathon Why do you think so?
  5. Lieutenant_21

    HSC 2013-14 MX1 Marathon (archive)

    Re: HSC 2013 3U Marathon Thread $Let$ I=\int \frac{1+2\sqrt{x}}{2\sqrt{x}(x+\sqrt{x})} \ dx $Let$u=x+\sqrt{x} \therefore dx=\frac{2\sqrt{x}dx}{2\sqrt{x}+1}du I=\int \frac{2\sqrt{x}}{2\sqrt{x}(u)}du=\int\frac{du}{u}=lnu+c=ln(x+\sqrt{x})+c
  6. Lieutenant_21

    HSC 2013 MX2 Marathon (archive)

    Re: HSC 2013 4U Marathon Thank you! So I will just keep doing questions.
  7. Lieutenant_21

    HSC 2013 MX2 Marathon (archive)

    Re: HSC 2013 4U Marathon Could you please elaborate on that? :) What do people do to prepare for Olympiads? They clearly need excellent problem solving skills which is something I want to improve.
  8. Lieutenant_21

    HSC 2013-14 MX1 Marathon (archive)

    Re: HSC 2013 3U Marathon Thread Is this doable without IBP?
  9. Lieutenant_21

    PhB and R&D

    But what they are looking for in "extracurricular" is academic olympiads and competitions so they are looking for ultra book smart people lol Do you go to ANU?
  10. Lieutenant_21

    HSC 2013 MX2 Marathon (archive)

    Re: HSC 2013 4U Marathon f_{0}(x)= \frac{1}{1-x} f_{1}(x)=\frac{1}{1-\left ( \frac{1}{1-x} \right )}=\frac{x-1}{x} f_{2}(x)=\frac{1}{1-\left ( \frac{1}{1-\left ( \frac{1}{1-x} \right )} \right )}=x f_{3}(x)=\frac{1}{1-\left ( \frac{1}{1-\left ( \frac{1}{1-\left ( \frac{1}{1-x} \right )}...
  11. Lieutenant_21

    HSC 2013 MX2 Marathon (archive)

    Re: HSC 2013 4U Marathon Should have said integral of arctan(cosx) :) My bad.
  12. Lieutenant_21

    HSC 2013 MX2 Marathon (archive)

    Re: HSC 2013 4U Marathon Yes, I know arctan and cos are elementary functions but you need poly-logarithm functions to do it.
  13. Lieutenant_21

    PhB and R&D

    What does it take to get into these degrees at ANU? How difficult are they? It says the cut off is 99 but then says they care about extracurriculars more then the ATAR :( (I have almost no extras lol) Anyone doing any of these degrees? What is the diffidence between them and advanced science or...
  14. Lieutenant_21

    Phone for my mum:

    Sonim XP1300
  15. Lieutenant_21

    "Posts" Error.

    Harrisony was the best webmaster!
  16. Lieutenant_21

    Hey, nightweaver Do you have solutions for physics MC? :) Thank you!

    Hey, nightweaver Do you have solutions for physics MC? :) Thank you!
  17. Lieutenant_21

    HSC 2012-2015 Chemistry Marathon (archive)

    re: HSC Chemistry Marathon Archive Thank you so much! I think 12 is D because they have to be in alphabetical order. Some one correct me if I am wrong?
  18. Lieutenant_21

    "Posts" Error.

    Why does this happen?
  19. Lieutenant_21

    School assessments being too easy?

    The problem is that biology is easy, they can't really make the questions that hard.
  20. Lieutenant_21

    HSC 2012-2015 Chemistry Marathon (archive)

    re: HSC Chemistry Marathon Archive Anyone has 2012 multiple choice solutions (for phys as well if possible)?
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