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G.H Hardy said The distinction between pure and applied mathematics is simply that applied mathematics seeks to express physical truth in a mathematical framework, whereas pure mathematics expressed truths that are independent of the physical world. I agree totally, pure mathematics generally...

Didn't you just prove the triangle inequality using the triangle inequality?

I GO TO MOSMAN HIGH SCHOOL. We use Cambridge, Coroneos, terry lee and Fitzpatrick.

You could but it would be annoying, much easier to do it the other way. Do some 3-d trig stuff and look at past papers.

Re: 2012 HSC MX2 Marathon Did you sketch the graph? That sometimes gives the answer away especially in complex number questions. However I don't think there is a quicker algebraic method but I could be wrong.

Re: 2012 HSC MX2 Marathon Yes, infinite geometric series. I think I am just confusing myself. This is from the unsw school mathematics comp, it is interesting and I would consider it harder 3 unit.

Re: 2012 HSC MX2 Marathon Right, so I did it again and I still get a different answer. Your method is definitely shorter as I am using infinite series and a lot more algebra.

Re: 2012 HSC MX2 Marathon What if the radius isn't one? When I did the question, I got a similar answer but I used a variable r and couldn't simplify past a point, I am sure I did something wrong but when I got a similar looking anwser.</oap>

Is the question based on something that someone who had only done 4 unit for a term would be able to do?

I concur. Well said.

HAPPY BIRTHDAY!!!!!

Thank you kind sir!

Okay, as stupid as it sounds. I am finding the Pi notation absolutely mind destroying, can you give a simple example and I will probably be able to figure it out.

Very specifically, I remember an absolutely fantastic explanation of the formula or the area of a circle. It is here. I don't think that this will really benefit anyone in here but I think that the approach taken would benefit many people in their approach of any Q8. The website also has many...

I did a geography assignment on population growth in year 10, it was the most interesting thing we ever did in geography. I love number theory and have spent innumerable days trying to, in vain, solve the collatz conjecture (Because I am so naive). Quantative risk, planning and optimization also...

Oh alright, it is just kinda annoying. I was under the impression that I got 100 for 2 Unit if I was doing 4 Unit. That is annoying as I got 100 in all my 2 unit exams.

So I get nothing for completing the 2 unit maths course? Even though if I had done two unit and not extension 2 I would have blitzed it? That doesn't seem very fair.

The line was in the 2010 extension two paper, question 4.

I know, I'm scraping the barrel for answers here. I think that it's probably just an error in the textbook and it doesn't matter as the answer is still the same.

Exactly, its only semantics.