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Re: HSC 2012 Marathon :) \int \frac{1}{3+\sqrt{3}} \ dx \\ \\ \frac{dx}{du}=2(u-3) \\ dx=2(u-3) \ du \ \ \text {Into integral} \\ \\ =\int \frac{2(u-3)}{3+u-3} \ du \\ \\ =2\int \frac{u-3}{u} \ du \\ \\ =2\int 1-\frac{3}{u} \ du \\ \\ =2(u-3\ln{u})+C \ \ \ \ \ [1] \\ \\ \sqrt{x}=u-3 \\...

Wait a minute I thought the denominator was (1-x^2)(sin(x)^2) Im sorry :/

\int 5^x \ \ dx \\ \\ =\int e^{\ln{5^x}} \ \ dx \\ \\ =\int e^{x\ln{5}} \ \ dx \\ \\ = \left(\frac{e^{x\ln{5}}}{\ln5} \right ) + C \\ \\ = \frac{1}{\ln{5}} 5^x + C

Lol, I have no idea what that means at all, I just remember reading a Wikipedia article about a month ago on this http://en.wikipedia.org/wiki/Improper_integral And since its an asymptote at 0. And it is an integral from 1 to 0 then I thought it was an Improper Integral. i.e. ^^^ asymptote at c

Hmm, is this an improper integral by any chance?

Very very sorry about that, but its a typo, because So yeah that line of working was just restating the question, which I did wrong :/ But my solution is still right

Lol rep power farm

Which is slightly unfortunate because Physics and Economics would be a helluva lot more fun if Calculus was involved

We need to be given the displacement of x at a certain time to be able to evaluate that, but since the question has not stated there is no possible way to know what Alpha is in this. Its not a good question considering Carrotsticks already had to assume that C.O.O is x=0

I dont like bumping, but the thread is more active now so..... Please help, I would just like an interpretation of the last two lines.

There is how you use the sliders in Geogebra, its a great tool. Also, I can do math adequately enough because I love math. If you practise well enough, and have an affinity with math, then you could be doing 4u with me next year.

Less observational solution Though RealiseNothing's solution is quite smart, man has a good eye. I know quite alot about Geogebra, that is the graphing program I personally use. I am pretty sure you can graph it using sliders, by confining the (a,-1) point on the line y=-1 Then drawing the...

Hang on, doesnt that formula only work if Centre of Oscillation is x=0? Because thats where it is derived from. It doesnt look like you can assume that x=0 is equilibrium either considering its careful wording (3cm from equilibrium), it would be pretty stupid if they didnt give you the...

http://www.duxcollege.com.au/hsc-scaling-i-49.html That is a good link to learn about scaling and atar calculation. Ill give a summary. Firstly your raw HSC Mark is calculated via your raw external mark and raw school (hereafter internal) mark. The way THIS is calculated is via moderation ...

The question really doesnt make sense, but here is what I got out of it. c) d) and e) Are the answers correct? And also nothing can be millimetres because it says R is the Volume flow rate, i.e. dV/dt = mL/s Most likely a typo.

ಠ_ಠ woooowwwww.... I did not even know it was that good.... Point still stands though, if you suck so badly you get ~30% or below that, you still might back yourself into a corner though....I guess.

Do Extension 2 math if you are more than competent at math, because you might corner yourself, if you only have 10 units and you suck at 4u math, and you cant drop it (because you only have 10 units). Then your atar can be at a severe risk, because no matter how epic 4U scaling is, it isnt going...

So I need to give a speech about a Robert Frost poem of our choosing, and I have chosen A Question - Robert Frost A voice said, Look me in the stars And tell me truly, men of earth, If all the soul-and-body scars Were not too much to pay for birth. I dont want anyone to analyse it for...

I reckon this guy is pretty good at his math, its unfortunate however that he is just playing number games and not solving mathematical problems associated with real life. IF he could work for NASA, or something involving physics, it would be a good application of his skills if he actually is...

100% Because if your not perfect, then there will nearly always be someone ahead of you. So be the one who is ahead, and get 100