I just found it. (Mind you, it's been like 5 years since my HSC and I was just going off the top of my head and, as it seems, my memory turned out to be quite correct)
https://www.dropbox.com/sh/ytcsnu1tmskklhv/AACS0G0bzY03FUu3iYCOJ0UPa
Lol Q13c is basically copied from a Victorian paper ...
Q12c is very similar to a past HSC paper (2004 I think)
I've seen Q14a previously.
Other questions seem pretty standard as well.
Seems very unlike a typical Ruse paper. Perhaps the person writing it couldn't be bothered with...
Didn't see this until now.
I'm quite sure it is written in LaTeX. You can get packages which change the font to 'Times' (but not 'Times New Roman' because it's proprietary or something).
Yes, but note what was said in the marker's comments for Q2(c)(ii) of the 2005 Extension 1 HSC paper:
"Some candidates tried to use integration by parts to do this question. However, very few were successful using this method."
I meant complex maps.
I still think there's serious question as to whether it is in the syllabus or not.
Anyway, isn't mapping curves -> curves the same thing as mapping points -> points? I.e. In the former case aren't we mapping the points of a curve to another point of a curve etc? Oo
I don't think Q11(c) is really in the syllabus because it involves mappings (although it can be done by arguments/circle geom as well). I think, in fact, the syllabus explicitly excludes these types of locus questions.
Lies.
Let x = a+ib (where a and b are real)
Then e^(a)e^(ib)=-1
e^a (cos b + i sin b) = -1
Equate real and imaginary parts:
cos b = - e^(-a)
and sin b = 0
So b = π
and -1 = -e^(-a)
e^a = 1
a = 0
Thus, x = iπ is also a solution.