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    (Original post by TeeEm)
    YOU NEED TO SPEAK TO A PURIST ... Sorry I do Physically applied/methods
    I remember back to my degree says, that if a matrix is symmetric then the eigenvectors have to be orthogonal, but I do remember the proof ...
    My apologies.
    no worries. Thankyou for replying. I tried reading the theory behind the matrix stuff and gained some understanding behind determinants and why the characteristic formula for eigenvalues holds. But when i tried to understand the reason behind the eigenvectors being orthogonal for a symmetric matrix, i could not gain the intutive feeling.
    I have downloaded few linear algebra textbooks and will be reading those during holidays to get better understanding.
    I don't understand the thought in introducing all this matrix stuff in fp3 without first explaining linear algebra.
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    In the following links there are resources for the FP3 EDEXCEL

    HYPERBOLIC FUNCTIONS
    http://madasmaths.com/archive/maths_..._functions.pdf

    MATRICES
    http://madasmaths.com/archive/maths_...ons_part_b.pdf

    VECTORS
    http://madasmaths.com/archive/maths_...ons_part_b.pdf

    INTEGRATION
    http://madasmaths.com/archive/maths_...ns_part_ii.pdf

    ARCLENTH & SURFACE
    http://madasmaths.com/archive/maths_...revolution.pdf

    CONICS
    http://madasmaths.com/archive/maths_...c_sections.pdf

    REDUCTION FORMULAS
    http://madasmaths.com/archive/maths_...n_formulas.pdf

    anything missing?
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    Differentiation, but that is easy in FP3 anyway.


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    some basic differentiation here in the attached PDF (answer in the pink section)

    hyperbolic differentiation in
    HYPERBOLIC FUNCTIONS
    http://madasmaths.com/archive/maths_..._functions.pdf

    inverse trig differentiation at the end of the booklet in this link
    INVERSE TRIGONOMETRIC FUNCTIONS
    http://madasmaths.com/archive/maths_..._functions.pdf
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  1. File Type: pdf differentiation_practice_iii.pdf (154.0 KB, 51 views)
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    if the cross product of two vectors gives a vectors (axb) that is perpendicular to both a and b, is the the exception to this when a and b are parallel? if, lets say, you did want to find a vector perpendicular to a and b where a and b are parallel how would you go about this then?
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    in June 2009 question 1, for sechx=3/5 don't you get an answer of In(3) when you use the indentity? (using x as 5/3?)
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    (Original post by mmms95)
    in June 2008 question 1, for sechx=3/5 don't you get an answer of In(3) when you use the indentity? (using x as 5/3?)
    Can you link the paper? Can't find it
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    When Edexcel sort out your modules to determine whether they go in maths or further maths, do they sort them to give you the best possible grade in both subjects, or do they put the best modules in maths? Also, do you have any say onhow you want the modules arranged ?

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    (Original post by BP_Tranquility)
    When Edexcel sort out your modules to determine whether they go in maths or further maths, do they sort them to give you the best possible grade in both subjects, or do they put the best modules in maths? Also, do you have any say onhow you want the modules arranged ?

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    I think they try to get the best possible in maths.
    But if you aren't happy with the way they arrange it, I think you can get it changed. (I was worried about this too and this is what my teacher told me)
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    (Original post by BP_Tranquility)
    When Edexcel sort out your modules to determine whether they go in maths or further maths, do they sort them to give you the best possible grade in both subjects, or do they put the best modules in maths? Also, do you have any say onhow you want the modules arranged ?

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    Best grade in maths then best grade FM the max UMS in maths the max UMS in FM


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    (Original post by Navo D.)
    Can you link the paper? Can't find it
    sorry i meant june 2009 https://3a14597dd5c7aa2363f067571766...%20Edexcel.pdf

    also on question 5 i don't understand how they simplified the integral in the markscheme (https://3a14597dd5c7aa2363f067571766...%20Edexcel.pdf)

    how did they deal with the (25-x^2) on top?
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    (Original post by rachu)
    I have downloaded few linear algebra textbooks and will be reading those during holidays to get better understanding.
    I don't understand the thought in introducing all this matrix stuff in fp3 without first explaining linear algebra.
    Linear algebra is just matrices tbh.
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    (Original post by mmms95)
    if the cross product of two vectors gives a vectors (axb) that is perpendicular to both a and b, is the the exception to this when a and b are parallel? if, lets say, you did want to find a vector perpendicular to a and b where a and b are parallel how would you go about this then?
    You only need to find a vector, say v=(xi+yj+zk) that is perpendicular to a. So v•a=0

    Choose values for x and y, as there are infinitely many values, then choose a z value which is consistent with this information
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    (Original post by mmms95)
    in June 2009 question 1, for sechx=3/5 don't you get an answer of In(3) when you use the indentity? (using x as 5/3?)
    What identity? I'm pretty sure you just have to rewrite in terms of e and solve the resulting quadratic
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    (Original post by Navo D.)
    What identity? I'm pretty sure you just have to rewrite in terms of e and solve the resulting quadratic
    in the alternative method (ii) https://3a14597dd5c7aa2363f067571766...%20Edexcel.pdf

    i got sechx=3/5 and i used arcoshx =In(x+sqrt(x^2 -1) and when i substitued 5/3 i get In 3 which is not the answer
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    Do we need to know how to work with ellipses or hyperbolae with focii on the y axis?

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    (Original post by rayquaza17)
    I think they try to get the best possible in maths.
    But if you aren't happy with the way they arrange it, I think you can get it changed. (I was worried about this too and this is what my teacher told me)
    (Original post by physicsmaths)
    Best grade in maths then best grade FM the max UMS in maths the max UMS in FM


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    Oh, okay, thanks

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    (Original post by mmms95)
    in the alternative method (ii) https://3a14597dd5c7aa2363f067571766...%20Edexcel.pdf

    i got sechx=3/5 and i used arcoshx =In(x+sqrt(x^2 -1) and when i substitued 5/3 i get In 3 which is not the answer
    Remember, arcosh(x) also equals ln(x-sqrt(x^2 -1)
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    (Original post by Gome44)
    Remember, arcosh(x) also equals ln(x-sqrt(x^2 -1)
    ooohh, ok thanks!
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    (Original post by rayquaza17)
    Linear algebra is just matrices tbh.
    yes but in a proper textbook focusing on it, they explain the proof and the theory behind the mechanistic steps that we follow in fp3 matrices chapter
 
 
 
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