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Most likely you would've lost only 1 mark for it, considering that they explicitly specified that a, c and n are positive constants in the question.

Yes. I can confirm that Person B can state rank. Source: I came first in Biology at my school (as well as 4U maths, they're not mutually exclusive contrary to popular belief!). The guy coming 3rd internally got a state rank in Biology whereas I didn't, despite me coming first internally...

Your question is a bit ambiguous currently. What do you mean by 'second person'. The second person in your description, or the person coming second? Just use person A and B.

Highly unlikely. One mark would be allocated for identifying the relevant double angle formula, and the other mark would be allocated to finding the correct primitive. By awarding you only 1 mark for not having a +C, they're categorising you as a student who could only identify the double...

You would've lost a mark for (i) (you provided the entire term, but they are looking for just the coefficient) but gotten full marks in (ii) (you provided the term/coefficient, same thing anyway here, and they're asking for the term).

If you are doing Extension 2 Maths, it counts as 2 units. If you are doing Extension 1 as well as Advanced, it counts as 1 unit.

For part (i) you probably would've lost a mark for leaving the x there, as a_2 is unambiguously the coefficient, not the term. For part (ii), I'm not sure how you would've still had x's in there unless you had something like x^0, in which case that is still okay.

Most likely a transcription error then, but this one I cannot say for certain. Most likely you would've been awarded full marks for both parts still. HSC markers are very reasonable. What answer did you acquire for Q14 (a) (ii) then? Most likely CFPA for that one. You would get 2/3...

1. Yes, you would've lost a mark for it. I can imagine that was the specific trap set in mind for this question actually. 2. Yes, they'll dock you a mark for not justifying your choice. It is a 3 mark question after all. 3. If everything else was e^(-t) and you just wrote e^t in your last...

Hard to say for this one. I am leaning more towards you losing the mark here.

Or even easier, cot(x) = tan(90-x).

That's a very short mountain then. It's too late now for you, but for this reason I always tell my students to verify their answer with what makes sense in real life. Is your answer reasonable? If not, double check it. So if I got a 62m high mountain, I'd immediately be suspicious.

Either pi/6 or -pi/6 would have been accepted. 5pi/6 is just incorrect, as it implies that the particle is moving backwards.

Of course! That is most certainly valid.

No, you would have not lost a mark. Most likely that will align to 98 or 99.

Oh right I see, I didn't see that you excluded the dots. You would've lost a mark for part (ii) then. However, your argument for part (iii) is still valid. The remainder is ALWAYS at most one degree less than the dividend (which is linear in this case). That means the remainder MUST be a...

No, that is not correct because it means that the particle is flying backwards!

Transcription error, you would've gotten the mark still. It is clear that you intended the multiply symbol.

Depends on the type of silly mistake (transcription error? carry from previous? etc) and where the question is located in the paper.

You would have gotten the mark for both (ii) and (iii). The question is asking for the angle that it makes with the horizontal. They didn't specify an orientation for the angle, so pi/6 is a valid answer. There are 2 marks to the question. 1 mark would have been for finding ydot and xdot, the...