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Just because you are overtly-social does not mean you succeed in life. There is a difference between someone who is not as social as other people yet have life skills, and people who are very social but lack all the common sense to do anything even remotely successful with their lives. To be...

Re: HSC 2013 4U Marathon Heh, Ill try man hopefully it will be more active than the 2012 3U one.

Re: HSC 2013 4U Marathon Stick to Complex Numbers/Polynomials at first since not many people have done other topics yet. I will start off: $Take$ \ \ \ \ \ z \ \ \ \text{as a complex number. And n as any integer greater than 2. Factorise } \\ \\ z^n-1=0 \ \ \ $ Using...

Here, post questions that you have made/found for Extension 2 Maths, so we can all benefit from new experience to different questions ---------------------------------------------------------------------------------------------- The 2013 Question Compilation Note the compilation is not in...

If they just ask you to graph it, say for example you want to graph: | \sin x | =f(x) Look at all the parts where sin x is below the x-axis, then when you absolute value it all the negatives become positives, so you just reflect all the negative points about the x-axis

Ok look at it this way, for a: What is 1/z? When we look at z=rcis \theta By de Moivre's theorem z^{-1}=\frac{1}{r}cis (-\theta) Now when we add these two complex numbers, we have to do so using vector division to get z+1/z This is done by constructing a parallelogram off the two...

I havent done many yet, but from what I have done so far they pretty much hand feed you everything for the Q8s and 7s (16s and 15s new format)

Finishing Complex Numbers and all the questions, even the Q8s and 7s most of them (95%) of them are free marks basically. Its the harder 3U that will scare me

If you excel in 2U, 3U will be less of a challenge. This is because in 3U a lot of the topics are sparsed out in extensions of 2U topics (further graphs, further locus etc), but there are of course entirely new topics. Therefore just because you do 3U, doesn't mean you should neglect 2U...

I would give, and so would any right minded teacher give it zero marks. Maths in Focus is fine for the basics.

Haha, its natural to be curious if you are bothered I guess. (dont judge my pokemon skills due to that video, I sucked badly then :s)

If non integer factorials can be defined, is it possible to 'expand' (1+x)^{\frac{1}{2}}

Does the computer define what is 'about' or would the programmer define how much is about?

Well the way I saw it, first find the time taken for the projectile to reach max height, under gravity 10, it takes 1 second. Now lets find the new gravity of the earth, using our formula. We find it to be 160. Then substitute into our displacement equation for y again, and done, finding 0.25...

That looks about right, nice work :) Ill post another question soon (part 2 of Mysterious S's adventure!)

The original gravity is 10 or 9.8 (whatever you want, 10 creates less messy numbers lol). But gravity does change throughout flight, it requires use of a specific formula

Sorry, yeah radius will become quarter of its original value.

$A ball is projected directly upwards at a velocity of $ 10ms^ {-1} $ When the ball reaches maximum height, an evil villain by the name of Mysterious S decides it would be cool to shrink the size of the Earth to a quarter of its original radius, while still retaining its mass and shape$...

Establish the givens: Call the distance of Joel to the town J, the distance of Nick to the town N. \frac{dJ}{dt}=-75 \ \ \ \ \ \frac{dN}{dt}=-80 Integrate: J=-75t+C_1 \\ N=-80t+C_2 t=0 J=700 N=680 J=-75t+700 \\ N=-80t+680 Use pythagoras N^2+J^2=d^2 \\ \\ d=...

Re: HSC 2012 Marathon :) $ A projectile is fired from the origin with velocity V, under the conditions of gravity g and no air resistance. The projectile is fired such that the maximum height is half the range of the projectile. Taking maximum height as h. A particle is starting Simple...