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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 :)

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.

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...

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

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

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

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.

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

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?

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 )}...

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

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

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...

Sonim XP1300

Harrisony was the best webmaster!

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

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?

Why does this happen?

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

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