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Edexcel FP2 Official 2016 Exam Thread - 8th June 2016

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@Zacken


Hi for (z+1)^3 = -1,

the roots of z do not equal 0 can you expalin why pls, is it because there is a constant attached to z?
https://8fd9eafbb84fdb32c73d8e44d980d7008581d86e.googledrive.com/host/0B1ZiqBksUHNYTnpyeF8xQlZweHc/CH3.pdf

Someone explain Page 61 part c, how did they come to the conclusion of working out the points and radius pls
Original post by Mihael_Keehl
@Zacken


Hi for (z+1)^3 = -1,

the roots of z do not equal 0 can you expalin why pls, is it because there is a constant attached to z?


What do you mean? Are you saying that one of the roots should be z=0?

That's obviously not possible since (0+1)^3 = 1^3 =/= -1
Original post by Zacken
What do you mean? Are you saying that one of the roots should be z=0?

That's obviously not possible since (0+1)^3 = 1^3 =/= -1


no lmfao, I did not mean that, that is obvious haha.

I mean the sum of the roots of unity do not equal zero, as what is the case for other types where z is isolated in FP2 Chapter 3 Ex3E.
Original post by Mihael_Keehl
no lmfao, I did not mean that, that is obvious haha.

I mean the sum of the roots of unity do not equal zero, as what is the case for other types where z is isolated in FP2 Chapter 3 Ex3E.


Because these aren't the roots of unity - they're the roots of -1. The roots of unity are the roots of 1...
Original post by Zacken
Because these aren't the roots of unity - they're the roots of -1. The roots of unity are the roots of 1...


don't most of the roots in fp2 dmt types have the roots add up to zero, I have obeserved this serveral times..
Original post by Mihael_Keehl
don't most of the roots in fp2 dmt types have the roots add up to zero, I have obeserved this serveral times..


They probably add to -3 in this case. Because (z1+1)+(z2+1)+(z3+1)=0( z_1+1) + (z_2+1)+(z_3+1)=0
Original post by EricPiphany
They probably add to -3 in this case. Because (z1+1)+(z2+1)+(z3+1)=0( z_1+1) + (z_2+1)+(z_3+1)=0


I think it is just -2. :smile:
Original post by Mihael_Keehl
I think it is just -2. :smile:


That's weird. What did I do wrong?
Original post by Mihael_Keehl
I think it is just -2. :smile:


It's -3. I just checked it.
Original post by EricPiphany
It's -3. I just checked it.


Original post by Mihael_Keehl
I think it is just -2. :smile:


I agree with Eric, the solutionbank lists the wrong answer down at the end.
Please could someone explain for the method of differences how you know what cancels when there's 3 parts to the partial fraction, like in question 20b here https://8fd9eafbb84fdb32c73d8e44d980d7008581d86e.googledrive.com/host/0B1ZiqBksUHNYTnpyeF8xQlZweHc/REV1.pdf I can see it's obvious when the question has 2 terms but I can't figure it out when there's 3? :smile:
Thanks
Original post by EricPiphany
It's -3. I just checked it.


the roots are -2, -1/2 + isqrt3 /2 and 1/2 - isqrt3 /2 according to the document.

However I get a different answer, I was reading off the previous document before Lol.
Original post by economicss
Please could someone explain for the method of differences how you know what cancels when there's 3 parts to the partial fraction, like in question 20b here https://8fd9eafbb84fdb32c73d8e44d980d7008581d86e.googledrive.com/host/0B1ZiqBksUHNYTnpyeF8xQlZweHc/REV1.pdf I can see it's obvious when the question has 2 terms but I can't figure it out when there's 3? :smile:
Thanks


when you write enough of the columns at most when you have 5 rows, you will observe a pattern and then you cancel accordingly.
From ex 7b 5b

can we express 4/(1+sin2x) in terms of cosecx?

Why can it not be written as 4 (1+ cosec2x)
Page 7 part c

I put 3/sqrt2 [cosec (45 - theta)] is that acceptable?
Original post by Mihael_Keehl
From ex 7b 5b

can we express 4/(1+sin2x) in terms of cosecx?

Why can it not be written as 4 (1+ cosec2x)


11+sin2x1+1sin2x=1+csc2x\frac{1}{1+\sin 2x} \neq 1 + \frac{1}{\sin 2x} = 1 + \csc 2x
Original post by Zacken
11+sin2x1+1sin2x=1+csc2x\frac{1}{1+\sin 2x} \neq 1 + \frac{1}{\sin 2x} = 1 + \csc 2x


I see, thnk you
Hi, please could someone explain how you find the area in question 63 of rev 2 https://8fd9eafbb84fdb32c73d8e44d980d7008581d86e.googledrive.com/host/0B1ZiqBksUHNYTnpyeF8xQlZweHc/REV2.pdf, is there a general method to follow when finding areas of overlapping regions? Thanks :smile:
Original post by economicss
Hi, please could someone explain how you find the area in question 63 of rev 2 https://8fd9eafbb84fdb32c73d8e44d980d7008581d86e.googledrive.com/host/0B1ZiqBksUHNYTnpyeF8xQlZweHc/REV2.pdf, is there a general method to follow when finding areas of overlapping regions? Thanks :smile:


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