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you need turning points :)

wait why is this in the English thread?

alternatively, you could use the formula x = -\frac{b}{2a} since you're dealing with parabolas :D

good luck :D

Re: MX2 Integration Marathon \int_0^{\pi /4} \frac{dx}{1+ \sin^2 x} = \int_0^{\pi /4} \frac{sec^2xdx}{sec^2x +tan^2x} $ \ \ u = tan x $\\ \\ \\ \Rightarrow \ \frac{1}{2}\int_0^{1}\frac{du}{u^2+\frac{1}{2}} = \frac{\sqrt{2}}{2} tan^{-1}\sqrt{2}

Re: HSC 2014 4U Marathon Using a calculator we have cos\frac{\pi}{5} + cos\frac{3\pi}{5} = \frac{1}{2} \\ \\ cos\frac{\pi}{5}cos\frac{3\pi}{5} = -\frac{1}{4} \\ $We use those to make a quad equation containing those roots, then take the quadratic formula and deduce that$...

Hmm I don't remember the reason behind that tbh might need to ask someone else this (anyone?? )

it needs to be in the form \\ \\ \frac{A}{x-1} + \frac{B}{(x-1)^2}+\frac{C}{x+1}+\frac{D}{(x+1)^2} times both sides by (x-1)^2(x+1)^2 and equate coefficient. So you start by getting 4 = A(x-1)(x+1)^2 +B(x+1)^2 + C(x+1)(x-1)^2 +D(x-1)^2 Sub in x = -1 and x = 1 (seperately) to get B...

I dunno about early offers, but you can still change it completely after your ATAR comes out

heh and last year there were only 3 marks worth of probability allocated(and they were the easy ones as well), so chances are you'd have a little more.

I remember drawing up a graph, inspected the values then test them in the answers given lol.

Just beware that class time is limited so you can't expect the teacher to go through the whole topic in detail and delve into the harder questions all the time, this would leave no time for the later topics. e.g for 4U maths some schools tend to rush mechanics/harder 3U (the last topics taught)...

I'll assume the question is nC3 - 2 n+nC2 = nC1 you need to use the formula nCk = \binom{n}{k} = \frac{n!}{(k!)(n-k)!} so you would get \frac{n!}{(3!)(n-3)!} + 2n + \frac{n!}{(2!)(n-2)!} = n SOlve for n there .

1C2 isn't defined

Can some one PM me the link for the paper lol?

superannuation :D

I thought it was the university professors that make the HSC papers. and to answer OP's question, it'd be like 95.

kk

Apparently playing FPS games could improving your brain... .especially with multitasking.

it actually can be used (done a few examples of those in uni) , but i doubt HSC would give such questions where you'd have to use complex numbers to solve partial fraction. Wait, i dunno if the HSC allows this lol.