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I used LaTeX with a few addons (cant remember which ones exactly now)

It's become fashionable it seems to write creative questions and post them here (and its a good and fun tradition too ^^) so here's one I wrote about a month ago, that generalises integration techniques for solids of revolution to surfaces of revolution. I don't actually know why this isnt...

this usually would mean the product taken over all k < l right? so like, for a quadratic with roots a1 and a2, its (a1-a2)^2; for a cubic roots a1,a2,a3 its [(a1-a2)(a1-a3)(a2-a3)]^2, for a quartic its [(a1-a2)(a1-a3)(a1-a4)(a2-a3)(a2-a4)(a3-a4)]^2, etc so that there are n choose 2...

no idea whatsoever

uh whatever reasons you used would almost certainly have to be wrong since they obviously don't apply to the counterexample I gave above.

I told my 4u class that the technique where, when you are permuting things and need to things (say X and Y) to be consecutive you treat them as one element, as the "fat people on aeroplanes principle". Quite a few people ended up believing it was the name of an actual theorem.

You dont really see hard circle geometry q8 or hard counting q8. Theyre preeetty restrictive in the sort of difficulty they have, I reckon its worth looking at non-q 8 stuff Depends how much time you have left and how well prepared you are. If its not only a week left though, I reckon theres...

I guess the 'style' of questions acceptable for a q8 is actually kinda constant - they're sorta all in the category of analytical results that are slightly beyond the high school syllabus. I reckon the best way to prepare though would just be to... do harder stuff, because thats how neural...

EDIT: I think my angle notation messed with the server. So from now on, if I write /_XYZ it means angle XYZ. I don't *entirely* get what everything in that question means... but assuming ZW is Z times W and the W lies on vector Z-ZW means Z, W, ZW are collinear: the question is actually...

On proving the area of a circle is pi*r^2 - the really nice and simple way I think is to prove the area of a sector with angle theta is 1/2 theta r^2, but that requires calculus I guess. As for preparing for question 8 - I'm not *entirely* convinced that the best way to prepare for question...

Again this is exactly the attitude I was calling attention to earlier, which you either haven't noticed or have chosen not to respond to. I know its easy to be pulled in by the celebration of your results and congratulations if you do have something to celebrate about, but seriously grow up and...

Australian culture is overly obsessed with success, and a particularly arbitrary and narrow definition of success. Does the HSC make it easier to 'succeed'? Yes, that is probably the case. But is the word 'succeed' there actually representative of anything particularly important? No, and that's...

I think grammar got 5 or 6, but not entirely sure. Definitely 4.

You actually need another step to solve a "maximum" or "minimum" problem: you need to show the value is achieved. What I mean is this; you can define a maximum as follows: "A function f has a maximum M, if for all x, f[x] <= M, and for some a, f[a] = M" So what Spiralflex and others have shown...

thanks :) and my exam/assessment mark was 99 so I couldn't have gotten full marks

I reckon the article was correct in saying the paper was unusual and thus hard. But it was the sort of hard where if you'd prepared properly it wouldn't be too bad, whereas if you had only drilled standard questions then you'd be blocking yourself out of getting into higher mark ranges. What...

Shoulda counted grammar, 20 as well

The actual material/coursework in the 4u syllabus isnt that bad I dont think - apart from conceptual stuff I guess around things like complex numbers - the main thing though is that the coursework gives the teachers pretty huge grounds for a really big range of hard questions, hence the...

its usually very unclean... for instance, in the example (12 - 6i) the value of the argument is -tan^(-1) [2], which you'd be struggling to find any sort of nice form for - you can plug it in your calculator, halve it and find the cartesian form of the square root but either you're going to have...

I think hes got a few other errors, the thing about when the eccentricity approaches infinity is wrong (you dont know that a->0, you could have a fixed and b->infinity), and his proof of 8c/d runs into issues with special cases like when beta is on the unit circle