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also, when n=6, all circles intersect at 1 point

Re: 2012 HSC MX2 Marathon 1 units squared. find the inverse function of <a href="http://www.codecogs.com/eqnedit.php?latex=y=2e^{2x} -14e^x @plus;6" target="_blank"><img src="http://latex.codecogs.com/gif.latex?y=2e^{2x} -14e^x +6" title="y=2e^{2x} -14e^x +6" /></a> and state its new domain...

<a href="http://www.codecogs.com/eqnedit.php?latex=The~statement~2^{n}\geqslant n^2~for~n\geqslant 4.\\ Let~n=4~to~show,\\ LHS=2^4=16\\ RHS=4^2=16\\ LHS\geqslant RHS~\therefore it~is~true~for~n=4\\ \\ Assume~true~for~n=k~where~k~is~an~integer\geq 4\\ i.e.~2^k\geq k^2\\ \\...

Re: 2012 HSC MX2 Marathon to get the ball rolling again, <a href="http://www.codecogs.com/eqnedit.php?latex=\int \frac{2x^2@plus;13x@plus;16}{(2x@plus;1)^2(x-2)}~show~all~working.~This~definitely~tests~skill~in~partial~fractions" target="_blank"><img...

Re: 2012 HSC MX2 Marathon he just solved for domain and range, x=>3, y=>0. the graph is the positive axis of a sideways parabola

This thread is irrelevant

if they are challenging u for 1st in subjects, you are probably of the same capacity as them anyway and would not be able to do better regardless. You can only do the best you can do mate. quit worrying and study if you want to do better

sorry guys, I haven't done volumes yet so i just answered it the way i knew how.

how will your school fuck you over? just come 1st in all your subjects bro, and you control your own destiny

yeh

well the volume for any rectangular pyramid is V=bhl/3= 8x6x10/3=160cm^3

Re: 2012 HSC MX2 Marathon <a href="http://www.codecogs.com/eqnedit.php?latex=\int \frac{x^2}{\sqrt{1-x^2}}dx" target="_blank"><img src="http://latex.codecogs.com/gif.latex?\int \frac{x^2}{\sqrt{1-x^2}}dx" title="\int \frac{x^2}{\sqrt{1-x^2}}dx" /></a>

come first in most of your subjects, and your atar is on your own hands. you could get from 80 to 99+ with those ranks

Re: 2012 HSC MX2 Marathon yes, im definitely not scripting the solution though haha. I used cartesian co-ordinates, parametric might have made it easier.

Re: 2012 HSC MX2 Marathon here is a nice graphs question. Graph the function <a href="http://www.codecogs.com/eqnedit.php?latex=y^2=x^3(x-2)" target="_blank"><img src="http://latex.codecogs.com/gif.latex?y^2=x^3(x-2)" title="y^2=x^3(x-2)" /></a> noting the behaviour of the curve near its...

Re: 2012 HSC MX2 Marathon post questions once you answer guys

Re: 2012 HSC MX2 Marathon i made it up, but i have seen questions like this before. but there is the geometric property of the rectangular hyperbola that states that the area is constant.

Re: 2012 HSC MX2 Marathon prove that the area subtended by the tangent P to the curve xy=32, the X axis, and the Y axis is constant. Find the value of this constant

m8, that is an extremely stylish picture youve got there.

Re: 2012 HSC MX2 Marathon this is on the standard integrals sheet lol