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Arsey's S15 FP2 Model answers (in first post)

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The easy questions normally became hard on this paper, and the normally hard ones were easy.
Reply 21
Original post by physicsmaths
Q1 prt a is both
Part b isnt it just x>1


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I have to agree with this, though it is only one mark I must say I'm sure it's x>1 for 1(b). This is because in the exam I roughly drew both graphs, and as the 12/(x+3) becomes modulated, the x+2 graph can only ever be above the other graph after x=1. I would like to know what Arsey thinks as well.
Reply 22
Original post by Beasttty
The easy questions normally became hard on this paper, and the normally hard ones were easy.


The paper tested your trigonometry and calculus skills much more than it did with other papers. Other than that, the methods and procedures themselves were quite straightforward.
Q4. Power of square bracket on penultimate line should be 2 not n ?

Q2. Given ranges for x are answer for part a. For part b, only x> 1? Quick sketch of both sides will confirm this

Clive
Reply 24
Original post by Arsey
Quite reasonable on the whole - expect standard boundaries


1(b) x>1. No? Modulus sign provides this answer only.
yeah for 1b just type it into wolfram alpha and youll see :smile: http://www.wolframalpha.com/input/?i=x%2B2%3E12%2F%7Cx%2B3%7C
How many marks will I lose for 2c) if I used w = z^(3/4) and found all 4 correct answers? Serious question btw, worried about something
Original post by Arsey
Quite reasonable on the whole - expect standard boundaries

Good paper overall, really annoyed at myself, I got the IF= sinx for the 1st order differential, got the right answer (i think) then second guessed myself and changed my whole answer from the IF onwards, so the examiner won't see it. I would guess thats 3/4 marks dropped depending if they see me multiplying through by sinx? Other than that I do believe I got full marks :colondollar:
will i lose any marks for putting 3Ccosecx for the last term in the FODE question?
Reply 29
Original post by fatart123
How many marks will I lose for 2c) if I used w = z^(3/4) and found all 4 correct answers? Serious question btw, worried about something


2 at most.
How many marks would I lose for integrating -sinx to -cosx for the first order differentials question? I got everything else right but I'm worried I lost 2 marks - 1 for not integrating that properly and another final answer mark. Aiming for an A*, any idea what 71/2 raw marks would give in UMS? thanks.
Original post by Alex:
2 at most.


really? i would have thought if he got all the correct roots in the end then it wouldn't matter?

They normally have marks for alternative methods as well
Reply 32
Original post by SkyWarrior
How many marks would I lose for integrating -sinx to -cosx for the first order differentials question? I got everything else right but I'm worried I lost 2 marks - 1 for not integrating that properly and another final answer mark. Aiming for an A*, any idea what 71/2 raw marks would give in UMS? thanks.


I would say no more than 3.

Remember, if you are aiming for an A* in further maths, then you don't need 90ums in FP2. You just need 90ums overall in three A2 units or in other words, 270ums from your A2 exams. Missing by a few ums in FP2 is normal for a lot of candidates, and it is fine as long as you are strong in another area, like statistics or mechanics.
Reply 33
Original post by ThomasNugent
really? i would have thought if he got all the correct roots in the end then it wouldn't matter?

They normally have marks for alternative methods as well


Hence, 2 at most.

Two if they're feeling the answer is "cso". You see that a lot in mark schemes, and it basically means correct solution only.

One if they allow follow through marks.

No marks if they see that using 3pi/4 is completely equivalent. Whilst it is equivalent in this case, it is not equivalent in all cases, and certainly isn't a correct usage of De Moivre's theorem.
so for 5(a) for the show that it's a circle under W. I got everything right but then accidently made a silly sign slip resulting in the wrong cartesian equation. But the working out before it and all the numbers before it was correct. this then resulted in the wrong centre and radius. well i got -0.8 coordinate for u for the centre but the other one I didn't get 0. How many marks lost?
then for the next part I drew the circle [incorrect] i got from previous part and shaded the inside? Is there room for ECF marks here or should I consider all 2 marks lost for it?
To integrate the cos2xsinx you had to use double angle formula to get 2cos^2xsinx - sinx then integrate that. It was a tricky paper, I couldn't do the method of two differences either but apparently it's easier than it looks.. For the polar question I got a^2(81rt3/16 + 9/4pi). I struggled to convert the differential equation on Q8 so I just adjusted it to make it work in hope of fluking it haha. Wasn't my best paper but hoping for 85+ ums
Original post by Alex:
Hence, 2 at most.

Two if they're feeling the answer is "cso". You see that a lot in mark schemes, and it basically means correct solution only.

One if they allow follow through marks.

No marks if they see that using 3pi/4 is completely equivalent. Whilst it is equivalent in this case, it is not equivalent in all cases, and certainly isn't a correct usage of De Moivre's theorem.


Well, I ended up with w = 2sqrt(2)(cos(pi/2 + 3kpi/2) + isin(pi/2 + 3kpi/2)) and used k = 0, -1, 1 and -2.
Original post by Alex:
I would say no more than 3.

Remember, if you are aiming for an A* in further maths, then you don't need 90ums in FP2. You just need 90ums overall in three A2 units or in other words, 270ums from your A2 exams. Missing by a few ums in FP2 is normal for a lot of candidates, and it is fine as long as you are strong in another area, like statistics or mechanics.

Thanks, I also slipped up in the shading region R question so it looks like I'll be getting around 71. I thought I was strongest in FP2, so I'm hoping the S2 and M2 papers aren't that bad. Thanks to vectors, conics and matrices, I'm only aiming for an A in FP3 lol
Ugh, on the transformation question I somehow managed to copy down my -4/5 as a -4/25 when getting the last line for my circle equation. This ended up giving me the wrong radius only, how many marks would that drop me do you reckon?
Reply 39
For the roots question, they didn't state the range for theta, so I assume they want us to use the principal argument? Doesn't that mean that the only k's we can use are 0, 1, -1 and -2? I know that they would essentially give the same final answers but would there be method marks on this?

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