The Edexcel FP2 (22/06/12 - PM) and FP3 (25/06/12 - PM) Revision Thread

Maths exam discussion - share revision tips in preparation for GCSE, A Level and other maths exams and discuss how they went afterwards.

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  1. raheem94's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by VictorDeLost)
    www.sci2.co.uk/
    I know about it, but i think downloading it is better, because accessing it from the internet will be slower.
  2. raheem94's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by Dreamweaver)
    Sure
    :ta:
  3. Groat's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by wasif_hyder)
    Guys,

    I'm having trouble with chapter 1 Fp2, and finding the horizontal asymptote.

    Can anyone help ?
    Have you got a question you're struggling with? The inequalities topic has so many methods, so you may find one that you find easier.
  4. raheem94's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    If we have a question of the type,  y=arcosh2x , we need to differentiate it, the book usually solves these in the following way:
     \displaystyle 2x = coshy \\ 2 = sinhy \frac{dy}{dx} \implies \frac{dy}{dx} = \frac2{sinhy} = \frac{2}{\sqrt{cosh^2y-1}} = \frac2{\sqrt{4x^2-1}}

    Why can't we do it in the following way?
     \displaystyle \frac{d}{dx}arcoshx = \frac1{\sqrt{x^2-1}}

    Comparing, the above formula, this with the question,  y=arcosh2x , we can directly write the answer,  \displaystyle \frac{dy}{dx} = \frac2{\sqrt{4x^2-1}} Notice the '2' at the top is obtained by differentiating '2x'.

    Thanks in advance
    Last edited by raheem94; 05-05-2012 at 16:23.
  5. Aurum's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by raheem94)
    If we have a question of the type,  y=arcosh2x , we need to differentiate it, the book usually solves these in the following way:
     \displaystyle 2x = coshy \\ 2 = sinhy \frac{dy}{dx} \implies \frac{dy}{dx} = \frac2{sinhy} = \frac{2}{\sqrt{cosh^2y-1}} = \frac2{\sqrt{4x^2-1}}

    Why can't we do it in the following way?
     \displaystyle y=arcoshx = \frac1{\sqrt{x^2-1}}

    Comparing, the above formula, this with the question,  y=arcosh2x , we can directly write the answer,  \displaystyle \frac{dy}{dx} = \frac2{\sqrt{4x^2-1}} Notice the '2' at the top is obtained by differentiating '2x'.

    Thanks in advance
    If by comparing you mean applying the chain rule, then yes its completely valid.
  6. safmaster's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by raheem94)
    Why can't we do it in the following way? ...
    You can do it that way; that's what I do anyway and it's 100% correct as it's just the chain rule.
  7. raheem94's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by Aurum)
    If by comparing you mean applying the chain rule, then yes its completely valid.
    (Original post by safmaster)
    You can do it that way; that's what I do anyway and it's 100% correct as it's just the chain rule.
    I was confused because the book never mentions this method, i just deduced it while doing questions.
  8. Groat's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by raheem94)
    I was confused because the book never mentions this method, i just deduced it while doing questions.
    From past experience, Edexcel will guide you towards the first method if that's what they want.

    For example:

    Differentiate  y = arcosh \ 2x by using the result  \frac{d}{dx}(cosh \ x) = sinh \ x .
  9. Rahul.S's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by Groat)
    From past experience, Edexcel will guide you towards the first method if that's what they want.

    For example:

    Differentiate  y = arcosh \ 2x by using the result  \frac{d}{dx}(cosh \ x) = sinh \ x .
    nice new dog pic....but I prefered the old one you had
  10. Groat's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by Rahul.S)
    nice new dog pic....but I prefered the old one you had
    I couldn't find it. :pinch:
  11. Rahul.S's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by Groat)
    I couldn't find it. :pinch:
    :mad2:
  12. olipal's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by Dreamweaver)
    ...
    Bit of a shameless plug, but there might still be some interesting questions left in the thread I made last year. Oh, and good luck all

    http://www.thestudentroom.co.uk/show....php?t=1650716
  13. -Illmatic-'s Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by olipal)
    Bit of a shameless plug, but there might still be some interesting questions left in the thread I made last year. Oh, and good luck all

    http://www.thestudentroom.co.uk/show....php?t=1650716
    Thanks. How did you do in FP2/FP3, if you dont mind me asking?
  14. -Illmatic-'s Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by raheem94)
    If anybody needs the solution banks of FP2 and FP3, below are the links to download them.

    FP2: http://www.mediafire.com/?cv0uck5d5l1d6nf
    FP3: http://www.mediafire.com/?jsfhxjj3sf3oddd

    If you want to use them on internet explorer 9, then you might like to watch this video, http://www.youtube.com/watch?v=0J6kx...&feature=inbox
    You're a legend.
  15. olipal's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by -Illmatic-)
    Thanks. How did you do in FP2/FP3, if you dont mind me asking?
    If I remember correctly, 80 and 96 in 2 and 3 respectively. Made a very stupid mistake on the very last question on the 2011 paper if you were interested .
  16. -Illmatic-'s Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by olipal)
    If I remember correctly, 80 and 96 in 2 and 3 respectively. Made a very stupid mistake on the very last question on the 2011 paper if you were interested .
    Nice scores! I'm guessing you got the A*?

    FP2 is a bitch :dry:
  17. Dreamweaver's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by olipal)
    Bit of a shameless plug, but there might still be some interesting questions left in the thread I made last year. Oh, and good luck all

    http://www.thestudentroom.co.uk/show....php?t=1650716
    Thanks i'll stick it in the OP
  18. f1mad's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by Rahul.S)
    nice new dog pic....but I prefered the old one you had
    Yes dawg .
  19. wasif_hyder's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by raheem94)
    Can you give an example question?
    I'd have to fish for it. I'd do it after some time. Focused on S2 and D1 for now

    Is there no general method for finding a horizontal asymptote ?
  20. raheem94's Avatar
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    Re: FP2 + FP3 June 2012 Exam Thread
    (Original post by wasif_hyder)
    I'd have to fish for it. I'd do it after some time. Focused on S2 and D1 for now

    Is there no general method for finding a horizontal asymptote ?
    Are you having trouble on questions like this:  y= \dfrac{7x}{3x+1} \ ?

    It is clear that the vertical asymptote will be  x= - \dfrac13 , but the horizontal asymptote isn't clear.

    One way of finding the horizontal asymptote is to rearrange the expression to get  x = \dfrac{-y}{3y-7} , so we can notice that the horizontal asymptote will be  y = \dfrac73

    Do you want an easier approach for finding the horizontal asymptote?
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