Okay I've finished my solutions everybody.
Here it is http://community.boredofstudies.org/1278/mathematics-extension-2/386534/carrotsticks-extension-2-hsc-2018-solutions-memes.html#post7303320
I hated this paper. Typing it was a massive bitch to do compared to previous years. I'm also going to post some memes here too.
Usual stuff here everybody. Comment if you see errors but I think we should mostly be good. I've taken care to explain things as much as I can to aid understanding...
\\ $Because $ \frac{1}{\left ( \frac{d^2t}{dx^2} \right )} \neq \frac{dx^2}{dt^2}$ unlike the first derivative where $ \frac{1}{\frac{dt}{dx}} = \frac{dx}{dt} $ Most likely your answer would score 1 out of 3. One mark for the correct first derivative.
Here you go =)
https://www.dropbox.com/s/6c47j8mdwuq111p/HSC%202017%20Extension%201%20Solutions.pdf?dl=0
Let me know if you see typos!
Thoughts:
Eugh the paper is so long.
Not particularly difficult or interesting. NESA needs better HSC examiners (hire me pls).
Okay I'm going to address the a=plus/minus versus a>0 issue.
We say a>0 to keep things simple. That is, so that we may assign a physical thing (length of semimajor axis) to the value of "a". But mathematically, this is not a restriction.
Q: Will I get penalised for not doing A=plus/minus ...
I don't even think you would lose any marks. Unless I am mistaken, even in the course it's not clear if A must be zero or not. If NESA can't decide then surely they won't dock you down for that.
Was stuck on Q16 (a) (ii) for ages because I insisted on trying to be clever and breaking it up into two sum of GPs because the other way is 'stupid'. Turns out that was the way to go top kek (cries).