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If your strong at integration and can deduce inequalities, then it should be a piece of cake :)

basel problem :p

Yeah, since Q is a fixed point the restriction is y>=aq^2 with equality iff p=q=r. If the locus is a vertical line, I guess you can deduce that restriction just based off a diagram.

????, the equation of chord PR: y=[(p+r)x]/2 - apr. Rearranging and substituting p+r with 2q using part (i), 2pr = [qx-2y]/a. Sub that in to find the locus. I'll let you find the restriction out.

Woaaaah, that underestimation of girraween papers

send us pls :D

Hint: Find the equation of the chord PR

Costello and his "0% public sector debt", rofl

Re: HSC 2014 4U Marathon - Advanced Level Nice question! Yeah, it's Ptolemy's theorem in circle geometry translated into complex numbers vector representation :p

Re: thoughts on independent 4u 2014? HAHA, I will look forward to seeing you at carrotsticks 2014 bos trial :D

Re: thoughts on independent 4u 2014? Well I guess so haha, thats what happened in the trial :(

Re: thoughts on independent 4u 2014? Na, there are people who outright shit on my capabilities lol. In comparison to the CSSA though, it was definitely a harder exam.

Re: thoughts on independent 4u 2014? Was pretty easy, they've written 10x more harder papers -> just check 2007-08. But yeah, the things that took up the most time was the volume of the frustum (didn't realise that the slices horizontally were annular lol) and the very last part of the last...

fair enough

bottle of red label johnny walker :p

tell me about it, each topic for economics is like 15-20k words

Paul fucken keating dude. That guy is a legend.

Re: HSC 2014 4U Marathon

Re: HSC 2014 2U Marathon Q:

Re: HSC 2014 2U Marathon Q: