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Here are the solutions (also edited original comment to include solutions above).

Here you go.

Depending on your method, you may still get 1. Markers are not supposed to penalise if someone has clearly misread the question and in doing so it doesn't make the question easier. If it is clear that you misread and found the value for a minimum, but you still did some calculus in the process...

Your last step isn't valid. You can't jump from saying it is less than 3, therefore it is less than 1.

What's the reading error? Depending on the circumstances, if you're lucky you won't be penalised.

I just finished writing up my own solutions for that question, mine feels pretty clumsily worded though. Easy enough to see how to get the result, but my wording of the actual proof to justify the inequality is a bit shaky.

One of the conditions of the Gonski reform is to implement changes to all senior courses via the Australian Curriculum by 2018.

Draw a diagram, and place R where you think it should go. Using the similarity of the two triangles, try to find a relationship between the modulus of R (say z3) and the moduli of z1 and z2. Then try to do the same with the arguments. You should find a nice little result for z3 in terms of z1...

Re: MX2 Integration Marathon Nice question. Is it pi/[ab(a+b)] ?

As an Extension 2 teacher, I feel compelled to give my 2 cents here. I write all of my assessment tasks from scratch, and as braintic and Carrotsticks mentioned earlier, there are a LOT of ideas that get thrown around in the development of a question that will never see the light of day. I...

Hi guys Does anyone know where one could obtain past Extension 2 papers from before 1995? I know that Board of Studies site has papers from 1995 - 2012 but haven't had any luck finding earlier papers online.

Just be careful in how the question is worded. If they ask you to use a specific method, you will be deducted marks if you use a different method. Also note that if a question states "Hence, .......", if you do not use the previous result the marker may have grounds to deduct marks.

On that, multiple choice was much easier than I expected. Most trial papers that I looked at had MC questions much, much harder than anything that was in this paper.

For 10, only B and C are even functions (meaning both A and D are 0). The graph of C is entirely below the x-axis (except for when x=0) meaning the integral will be negative. B is the correct answer.

They stated the two parallel lines, they lost a mark solely because they used the abbreviation "alt." for "alternate".

There is no set rule for what they will or won't accept, since the head marker can change year to year. I personally think it is completely ridiculous to not accept abbreviations (after all, what are we trying to test exactly?), but a few years ago a student lost a mark in a HSC exam by saying...

This is an excellent resource. Who created it?

13 d ii) x - value of C = (1+2^(1/2))^(1/2) 16 a ii) k = (AB)^(1/2) c = (1/2)ln(B/A) Pardon the horrible typesetting, not very good with LaTex

Absolutely agree with this. Seems like you've got a solid background and the potential to do well in 4U, but don't take it for granted and don't immediately drop to 10 units after you've picked up 4U.