I think if you got alpha = 30, and justified that since alpha is positive then ydot>0 etc etc, then you would've gotten a CFP (carry from previous).
In other words I think you would've still gotten the mark for part (iii), but I cannot be 100% certain of course!
Not something I can rule out, as I don't know what process they use to differentiate state rankers, but unlikely they'll nit pick over silly things like that.
Re: Carrotsticks' Solutions 2015 Extension 2 HSC1
No, you definitely would not lose a mark for that. The reason why I left 4C4 there was to continue the pattern of coefficients.
Doubt it.
Hard to say. This paper was significantly easier than previous years.
Re: Carrotsticks' Solutions 2015 Extension 2 HSC1
I cannot say anything with absolute certainty.
Yes, this method is very well understood by the senior HSC markers, and instructions would have been passed down to the normal markers accordingly. I was going to do the problems using this...
Re: Carrotsticks' Solutions 2015 Extension 2 HSC1
Yes that also works in this particular scenario.
But it may not work always. That method assumes that the particle is either reaching constant speed or zero speed as it approaches the limiting displacement (in this case the velocity approaches...
https://www.dropbox.com/s/nmm942epl7x58mk/HSC%20Extension%201%202015%20Solutions.pdf?dl=0
Again, please let me know if you see any typos or calculation errors (which I am rather prone to)!
Here are the results and documents for the Extension 1 BOS Trials!
https://www.dropbox.com/s/mpujkcvqehiz8h0/BOS%20Trials%202015%20Extension%201.zip?dl=0
Again, these are by no means a reflection of the difficulty of the HSC (the HSC is significantly easier than these papers) so please don't...
Doubt they would dock you for that. A vector can be freely moved around. If they asked for position vectors representing various complex numbers (which they didn't) then sure they can dock you.
Haha woops. My inequality for the x^2 and x^2+1 is the wrong way around, woops!
But the idea is still there of course.
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Had a brief glance, I think his Q16 (a) (iii) is incorrect.
\\ $If $ f(x) < g(x) $ then it's not necessarily the case that $ \lim_{x \rightarrow \infty} \frac{f(x)}{g(x)} = 0. $ For example $ x^2 > x^2 + 1 $ but $ \lim_{x \rightarrow \infty} \frac{x^2}{x^2 + 1} = 1
No, they do not give half marks. In cases like those, whether you still get it or not it depends on a large number of factors like how many marks were allocated to the question, how late it is into the paper etc.