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holomorphic question?

No, 10 is b). I and several others have explained why earlier in this thread.

Re: General Thoughts: Mathematics Ext 2 Just did it quickly so may be wrong, but got ar^2/3.

Re: General Thoughts: Mathematics Ext 2 No. It is B.

Yep, first and fourth have odd integrands and are zero, third one is negative.

Your teacher isn't very good, it is B.

Prediction: Average mark will be higher as a percentage than some past years, but there will be less clustering at the top...the hardest questions weren't worth very many marks.

And some parts of Q15/16 take a bit of care to prove properly. I have a feeling some people might overestimate their marks in these sections.

Re: Scanned copy of 2012 paper A good paper I think, should do a reasonable job of distinguishing students fairly.

As a place to live in your early 20s I reckon -Newtown -Glebe -Inner west

Honestly sleep is more important than studying a few extra hours man, that's the best advice I can give you. As for your actual studying just crunch through exam papers that you have solutions to, focussing on perceived weak points...its too late for any other kind of study really.

Probably, I have not done much informatics. It is a pretty natural construction to make, (as is the summatory analogue).

The induction question is very much high school maths. The exploration at the end is only for people who want to look at it further.

Re: HSC 2012 Marathon :) Honestly not that difficult, maybe think about how you would try to prove the analogue of this theorem for functions: f is killed by taking finitely many derivatives if and only if f is a polynomial :). Because differentiation is more familiar this should be quite...

Re: HSC 2012 Marathon :) Yep, notation is a little funky but the idea is right, a constant sequence will get killed straight away by the operator '. Compare this to the behaviour of a constant function being differentiated :).

Re: HSC 2012 Marathon :) Yep, notation is a little funky but the idea is write, a constant sequence will get killed straight away by the operator '. Compare this to the behaviour of a constant function being differentiated :).

Re: HSC 2012 Marathon :) Yep, exactly. The question itself is a pretty standard induction...but it raises other interesting questions about this construction.

Re: HSC 2012 Marathon :) First part of this question is a 3U induction if you replace the word complex with real :). http://community.boredofstudies.org/showthread.php?t=292775

If you can find something wrong with Jiang's work you might still be able to, he is very highly respected in the mathematical community though so it is probably safest to not.

They are both false, as proven here: http://vixra.org/pdf/1203.0019v2.pdf by chun-xuan Jiang.