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    (Original post by FN510)
    I'm going through the Ch.2 mixed exercise... WTF?
    Ive been thinking the same- some of these Q's are incredibly more difficult than the examples or the previous exercises

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    Only got Chapter 2 left now! Seems straightforward but everyone seems to be worrying about loci so

    Is this everyone's last exam?
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    (Original post by BP_Tranquility)
    Ive been thinking the same- some of these Q's are incredibly more difficult than the examples or the previous exercises
    And the solutions aren't the best IMO
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    (Original post by Navo D.)
    Only got Chapter 2 left now! Seems straightforward but everyone seems to be worrying about loci so

    Is this everyone's last exam?
    Yeah, I've got it back-to-back with S2! How's matricies?
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    (Original post by Navo D.)
    Only got Chapter 2 left now! Seems straightforward but everyone seems to be worrying about loci so

    Is this everyone's last exam?
    What do you find hardest about vectors?

    I don't find the loci in FP3 that hard, it's mainly just using algebra to prove that you can express a function in the form of an ellipse/hyperbola and hey presto
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    (Original post by FN510)
    Yeah, I've got it back-to-back with S2! How's matricies?
    Thank god I did S2 last year Matrices is pretty straightforward actually, def not as hard as I was expecting. The problem is that I still don't understand WHY we're meant to follow these strict set of operations on matrices - the book should include more on linear algebra and why they work etc


    (Original post by Elcor)
    What do you find hardest about vectors?

    I don't find the loci in FP3 that hard, it's mainly just using algebra to prove that you can express a function in the form of an ellipse/hyperbola and hey presto
    The last bit of the chapter with shortest distance etc still isn't intuitive to me, hopefully I'll internalise it soon!

    Can't wait for some algebra bashing
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    There doesn't seem like much to go through with differentiation and integration, especially since the formula booklet already tells you most of the formulae (except what integration by reduction is).
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    (Original post by simonli2575)
    There doesn't seem like much to go through with differentiation and integration, especially since the formula booklet already tells you most of the formulae (except what integration by reduction is).
    I'm just hoping that I can spot the trick for rearranging/rewriting the reduction expression in the exam
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    (Original post by Navo D.)
    I'm just hoping that I can spot the trick for rearranging/rewriting the reduction expression in the exam
    Part of me's hoping to wing it, and the other part of me's hoping to learn it.
    At the very least, I think it involves integration by part, and that the first part of it will always result in zero.


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    (Original post by simonli2575)
    Part of me's hoping to wing it, and the other part of me's hoping to learn it.
    At the very least, I think it involves integration by part, and that the first part of it will always result in zero.


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    I found some of the book questions very difficult, Ex. 4F Q11 had me stumped! Hopefully nothing like that shows up.
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    (Original post by Navo D.)
    I found some of the book questions very difficult, Ex. 4F Q11 had me stumped! Hopefully nothing like that shows up.
    I only got it on my second trial. But yeah, it wasn't really obvious even when the formula is given.
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    (Original post by Navo D.)
    I'm just hoping that I can spot the trick for rearranging/rewriting the reduction expression in the exam
    Yeah, same. Allow the ones which require integration twice
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    If you need to find the surface area or volume by revolution if the curve's rotated pi radians about the x/y axis (instead of 2pi), do you just replace the 2pi's in the formulae with pi ?

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    (Original post by BP_Tranquility)
    If you need to find the surface area or volume by revolution if the curve's rotated pi radians about the x/y axis (instead of 2pi), do you just replace the 2pi's in the formulae with pi ?

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    Yes.

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    (Original post by Navo D.)
    I'm just hoping that I can spot the trick for rearranging/rewriting the reduction expression in the exam

    (Original post by simonli2575)
    Part of me's hoping to wing it, and the other part of me's hoping to learn it.
    At the very least, I think it involves integration by part, and that the first part of it will always result in zero.


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    An old post, but I just thought that I'd add that in last year's FP3 exam, the reduction formula question actually required that you did the opposite of reduction in order to solve the question i.e they gave you I2, and you need to use I3 in order to answer the question. It's not always a case of pure reduction. I have never seen this use of reduction formulae in any other question before, and this one had a lot of people (including myself) stumped last year.

    Just keep this in mind.
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    Urgh completely forgotten reduction formulae methods -.- by parts isn't working
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    Could someone put me on the right track please?

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    (Original post by Elcor)
    Could someone put me on the right track please?

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    I think I've seen something similar in the 2011 paper.
    Try integration by parts, keeping x^n constant and integrating with respect to (1+x)^1/2, then separate (1+x)^1.5 into (1+x)^1*(1+x)^1/2 in the next integral.
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    (Original post by simonli2575)
    I think I've seen something similar in the 2011 paper.
    Try integration by parts, keeping x^n constant and integrating with respect to (1+x)^1/2, then separate (1+x)^1.5 into (1+x)^1*(1+x)^1/2 in the next integral.
    I tried something to that effect... what next?
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    (Original post by Elcor)
    I tried something to that effect... what next?
    Then expand the bracket of (1+x)^1 so the integral could be expressed in terms of I_n and I_{n-1}</span></font><font color="#505050"><span style="font-family: arial">
 
 
 
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