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# Edexcel FP3 June 2015 - Official Thread watch

1. (Original post by bwr19)
Attachment 432421

Could anyone explain how to do this question (part c)? I got 3.74 but the mark scheme says 3.61?
Form a right angled triangle with PRN, the right angle of course being at N
Use the dot product to find the cosine of the angle between PR and PN
Then your distance RN is PRsin(theta) where theta is the (acute) angle you worked out
2. how do you verify a column vector is an eigenvector of a matrix?
3. (Original post by Ilovemaths96)
how do you verify a column vector is an eigenvector of a matrix?
If the matrix is A and the column vector is v, then Av=(correspondingeigenvalue)*v
4. (Original post by nayilgervinho)
Can someone help me with 3b and 3c.

https://3a14597dd5c7aa2363f067571766...%20Edexcel.pdf
Did you get it in the end or are you still confused?
5. Anyone have any revision resources?
6. (Original post by ExMus)
Anyone have any revision resources?
TeeEm's resources.
http://www.thestudentroom.co.uk/show...9#post56166729
Haven't done the FP3 ones but his FP2 ones on complex numbers were pretty... complex.
7. (Original post by rayquaza17)
If the matrix is A and the column vector is v, then Av=(correspondingeigenvalue)*v
Yeah i saw that in a textbook, but didnt seem convincing to me, i was thinking of just finding eigenvalues and corresponding eigenvectors but maybe thats unnecessary thanks anyway
8. (Original post by physicsmaths)
Hope so. I'm in the high 50s/ low 60s in III, borderline in both . WBU what's your offer?
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How did you do in STEPI? Perhaps,if you have an S this can save you.
9. Any strong FP3ers out there?

Try this integration (without clues) if you are hard enough...
I will write and post solutions after my dinner (about 1 hour)
Attached Images
10. Document1.pdf (9.2 KB, 103 views)
11. Document1 (solutions).pdf (437.1 KB, 102 views)
12. (Original post by Vesniep)
How did you do in STEPI? Perhaps,if you have an S this can save you.
Na prob got a 1 in I and II. Maybe a 1 in III. Most likely results is 1,1,2

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13. (Original post by TeeEm)
Any strong FP3ers out there?

Try this integration (without clues) if you are hard enough...
I will write and post solutions after my dinner (about 1 hour)
Hm, got 8.29 (3sf) but have a feeling I made a mistake somewhere in the calculation :/
14. (Original post by chemlover12)
Hm, got 8.29 (3sf) but have a feeling I made a mistake somewhere in the calculation :/
Perhaps you are right...
in an exam you will be given a substitution

use 2x = -1 + 4 coshθ

15. (Original post by TeeEm)
Perhaps you are right...
in an exam you will be given a substitution

use 2x = -1 + 4 coshθ

I expanded it and then completed the square then used the sub of
x+1= ((squrt19)/2) cosh(theta)
16. (Original post by TeeEm)
Any strong FP3ers out there?

Try this integration (without clues) if you are hard enough...
I will write and post solutions after my dinner (about 1 hour)
i got an answer but i'm far from a STRONG fp3er

update: i think im wrong, solution not complete, gonna give up at this point taking too much time =[
17. (Original post by chemlover12)
I expanded it and then completed the square then used the sub of
x+1= ((squrt19)/2) cosh(theta)
the method is correct
not sure if your substitution is correct.

try my substitution
18. (Original post by ninjasinpjs)
i got an answer but i'm far from a STRONG fp3er
either you are very modest or a very good "cheater"!
19. (Original post by chemlover12)
Hm, got 8.29 (3sf) but have a feeling I made a mistake somewhere in the calculation :/
got like 11.66 but not checked and owing to some of the numbers I obtained I reckon something went wrong early on; think I got the method though..

edit: by the method I mean a method.
(Original post by TeeEm)
Any strong FP3ers out there?

Try this integration (without clues) if you are hard enough...
I will write and post solutions after my dinner (about 1 hour)
20. (Original post by TeeEm)
Any strong FP3ers out there?

Try this integration (without clues) if you are hard enough...
I will write and post solutions after my dinner (about 1 hour)
I think I did it but the result is disgusting 😷
21. (Original post by TeeEm)
either you are very modest or a very good "cheater"!
mhmm, thought i got it but the solution was wayyy too short, so had a feeling it wasn't right.

#embarrassed
22. (Original post by ninjasinpjs)
mhmm, thought i got it but the solution was wayyy too short, so had a feeling it wasn't right.

#embarrassed
5 minutes to both my solutions

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