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Re: HSC 2012 Marathon :) <a href="http://www.codecogs.com/eqnedit.php?latex=z^n-1=0\\ \\ LHS=z^n-1=(z-1)(z-z_{1})(z-z_{2})...(z-z_{n-1})\\ \\ divide~both~sides~by~(z-1)\\ \\ z_{n-1}@plus;z_{n-2}@plus;z^{_{n-3}}@plus;...@plus;z@plus;1=(z-z_{1})(z-z_{2})...(z-z_{n-1})\\ \\ let~n=1\\ \\...

The question is as follows: A circular cylinder of height 6cm and base radius 4cm sits on a table with its axis vertical. A point source of light moves vertically upwards at a speed of 3cm/s above the central axis of the cylinder, thus casting a circular shadow on the table. Find the rate at...

ohh gee too easy! thanks carrot

I asked this question before, but I was a bit vague in my question and nobody seemed to understand. As proved, the parametric equations for a regular hyperbola are x= asec(theta), y= btan(theta) When referring to an ellipse, to have the major axis being along the x axis, or the y axis just...

i don't see your real point, people who put in hard work should be rewarded with scholarships, as employees want hard working people, and a person's ATAR is ROUGHLY reflective of a person's motivation and natural talent. Currently, in conjunction with an interview, personal credentials and ATAR...

tell me you said that when you were doing the HSC, and then I will give credit to your statement. Sure past-timers can say this, but it doesn't help anyone when you didn't have that opinion when you were doing the HSC.

your argument is invalid for one. "complex calculations" as opposed to "basic principals" is very wrong. but scaling is determined by the performance of a certain subject cohorts performance in english so it is indirectly representative of the cohorts relative ability edit: create your own...

that is aligning. scaling happens after

he means xe^x

<a href="http://www.codecogs.com/eqnedit.php?latex=y=xe^x\\ y'=e^x@plus;xe^x~(product~rule)\\ y''=2e^x@plus;xe^x~(product~rule)\\ intercepts~(0,0)\\ test~for~stat~points\\ e^x@plus;xe^x=0\\ x=-1\\ (-1,\frac{-1}{e})\\ test~for~concavity\\ at~x=-1\\ y''=\frac{1}{e}>0~(min~stat~point)\\...

Re: HSC 2012 Marathon :) ~ between words

Re: HSC 2012 Marathon :) copy the code box from down the bottom and paste that

Re: HSC 2012 Marathon :) <a href="http://www.codecogs.com/eqnedit.php?latex=TBP: ~CD-AD=\frac{(BC)^2-(AB^2)}{AC}\\ \\ let~AD=x,~DC=y,~DB=h\\ \\ by~pythagoras~theorum\\ \\ RHS=\frac{(BC)^2-(AB^2)}{AC}\\ \\ =\frac{(h^2@plus;y^2)-(h^2@plus;x^2)}{x@plus;y}\\ \\ =\frac{y^2-x^2}{x@plus;y}\\ \\ =y-x\\...

amogh.... amogh sarda?

accelerated st8 ranker coming up

Re: HSC 2012 Marathon :) bit of algebra practice: rearrange to make the subject y, also, for the first one, put in the form (x-k)(y-h)=c <a href="http://www.codecogs.com/eqnedit.php?latex=2xy-3x-y-2=0\\ and\\ y^2 - 8y @plus; 5x - x^2 - 15 = 0" target="_blank"><img...

Re: HSC 2012 Marathon :) x>1, x<-1 (greater or equal)

Re: HSC 2012 Marathon :) correct :)

DONKEY VOTE 4 LYF. (shit now i wait for the negs for being an uneducated farq)