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# Edexcel FP1 Thread - 20th May, 2016 watch

1. Hi can someone explain part b please. Is

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2. (Original post by Glavien)
Hi can someone explain part b please. Is

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Pretty sure that's fp3
3. (Original post by Glavien)
Hi can someone explain part b please. Is

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Yes, B^T A^T = (AB)^T.
4. (Original post by SeanFM)
Yes, B^T A^T = (AB)^T.
But shouldn't it be because the the order of the matrices matters?

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5. (Original post by Glavien)
But shouldn't it be because the the order of the matrices matters?

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No, because you can't just transpose each matrix and keep the order the same.

A video like this may help:

6. (Original post by SeanFM)
No, because you can't just transpose each matrix and keep the order the same.

A video like this may help:

Thanks, do I need to know this for FP1?

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7. (Original post by Glavien)
Thanks, do I need to know this for FP1?

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The proof, no way the concept.. if it doesn't appear in your textbook anywhere, you should be fine.
8. (Original post by Glavien)
Thanks, do I need to know this for FP1?

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It's not in fp1.
9. Just under 2 weeks left

Time goes quick damn
10. Hi, please could someone explain question 10 exercise A https://644625398389466aee0063322305...0NRNU0/CH6.pdf I don't really get the inductive n=k+1 bit, how do you know to add both (2k+1)^2 and (2k+2)^2 to the sum? Thanks
11. (Original post by Ayman!)
Good luck - it's quite a nice module to get 100 in, which I unfortunately missed out on. Edexcel are loving their conic sections in FP1 from what it seems, so try getting really good at those!
conic?!?!?
12. btw, when an induction question comes around, say we have no clue what to do in the actual induction step, can we get away with writing the basis + assumption, first few steps of the induction and then the conclusion without finishing off the induction? or is the full induction required to get the marks for the conclusion step?
13. (Original post by tazza ma razza)
btw, when an induction question comes around, say we have no clue what to do in the actual induction step, can we get away with writing the basis + assumption, first few steps of the induction and then the conclusion without finishing off the induction? or is the full induction required to get the marks for the conclusion step?
You wouldn't get any marks for the conclusion step but you would get marks for the basis + assumption + first few steps.
14. (Original post by tazza ma razza)
conic?!?!?
Conic = parabolas and rectangular hyperbolas.
15. (Original post by Zacken)
Conic = parabolas and rectangular hyperbolas.
cool, thanks mate
(Original post by Zacken)
You wouldn't get any marks for the conclusion step but you would get marks for the basis + assumption + first few steps.
ok thanks so much
16. (Original post by tazza ma razza)
cool, thanks mate

ok thanks so much
No worries.
17. (Original post by economicss)
Hi, please could someone explain question 10 exercise A https://644625398389466aee0063322305...0NRNU0/CH6.pdf I don't really get the inductive n=k+1 bit, how do you know to add both (2k+1)^2 and (2k+2)^2 to the sum? Thanks
Zacken Please could you help with this one
18. (Original post by economicss)
Zacken Please could you help with this one
Well whenever you're doing induction with summation, you have your assumption which is something like

, let's say (look at an example and read my explanation at the same time if this is too abstract)

Then your induction is something like you want to show:

but all you know is the the sum from r=0 to r=k, not r=k+1

So all you need to do is notice that .

And you know about sum to k, so you can just substitute that in with your inductive hypothesis.

In this case, it's slightly different because you assume

But you don't know about the sum to r=2k+2, you only know about the sum to r=2k

So you just need to rewrite the sum as:

In your case, ; but the important bit is knowing that if you have a sum to "k+1" terms, you can do it as "sum to k terms + the (k+1)th term" since they're the same thing!

In this case, because of the factor of 2, we have to split "sum to 2k+2 terms" into "sum to 2k +(2k+1)th term + (2k+2)th term".

That is - in genreal, with your inductive step, you want to make the sum become "what you assume + whatever is left over".
19. (Original post by Zacken)
Well whenever you're doing induction with summation, you have your assumption which is something like

, let's say (look at an example and read my explanation at the same time if this is too abstract)

Then your induction is something like you want to show:

but all you know is the the sum from r=0 to r=k, not r=k+1

So all you need to do is notice that .

And you know about sum to k, so you can just substitute that in with your inductive hypothesis.

In this case, it's slightly different because you assume

But you don't know about the sum to r=2k+2, you only know about the sum to r=2k

So you just need to rewrite the sum as:

In your case, ; but the important bit is knowing that if you have a sum to "k+1" terms, you can do it as "sum to k terms + the (k+1)th term" since they're the same thing!

In this case, because of the factor of 2, we have to split "sum to 2k+2 terms" into "sum to 2k +(2k+1)th term + (2k+2)th term".

That is - in genreal, with your inductive step, you want to make the sum become "what you assume + whatever is left over".
Thank you so much
20. (Original post by economicss)
Thank you so much

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