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    (Original post by multiratiunculae)
    No, but a mature person wouldn't stick rainbow colours on their profile picture, would they? You'd look older without them..

    ANYWAY; DOES ANYBODY HAVE OTHER DECENT MATHS PROBLEMS?
    Yeah

    Try STEP (Sixth Term Examination Papers in Mathematics)
    You can find past papers and Siklos booklets online for free
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    (Original post by driftawaay)
    Poor ivybridge and all those people on FB with their rainbow profile pictures...so many 14 year olds

    And poor you for thinking the animated non existent person in my profile picture is me. Embarrassing.
    Go away; you don't belong here.
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    (Original post by Johann von Gauss)
    Yeah

    Try STEP (Sixth Term Examination Papers in Mathematics)
    You can find past papers and Siklos booklets online for free
    STEP is extremely hard.
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    (Original post by multiratiunculae)
    Go away; you don't belong here.
    You try to pick a fight, you get knocked down, little boy. :hat2:
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    (Original post by serah.exe)
    0/0
    he said A levelish not PhDish
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    (Original post by lllllllllll)
    I did this problem in my STEP exam this summer. It's really good fun and I'm sure you'll enjoy it.

    Given that;

     sec^2 \bigg( \dfrac{1}{4} \pi - \dfrac{1}{2}x \bigg) = \dfrac{2}{1 + sin(x)}

    and

     \displaystyle \int_{0}^{\pi} xf(sinx) dx = \dfrac{\pi}{2} \displaystyle \int_{0}^{\pi} f(sinx) dx


    Evaluate  \displaystyle \int_{0}^{\pi} \dfrac{x}{1+ sinx} dx


    and  \displaystyle \int_{0}^{\pi} \dfrac{2x^3 - 3 \pi x^2}{(1+ sinx)^2} dx
    What can I deduce about f(sin(x))? If the original function was f(x)=1 for example, then f(sin(x)) has no effect. Obviously, the original function wasn't so, but what can be deduced?
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    (Original post by driftawaay)
    You try to pick a fight, you get knocked down, little boy. :hat2:
    Do they even do Maths at Norwich?
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    (Original post by multiratiunculae)
    A-levelish.
    Name:  STEP Que.JPG
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    (Original post by multiratiunculae)
    Question 10. Hints?
    dunno haven't done C3 and C4 yet
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    (Original post by Raees_Sharif)
    dunno haven't done C3 and C4 yet
    ...
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    Try some BMO problems, they like to make your head hurt a bit
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    (Original post by multiratiunculae)
    Question 10. Hints?
    I did it by a substitution; there may be a quicker way. Express 2x^2 + 4x + 3 in terms of (x + 1)^2 and the kind of substitution to do might jump out at you.
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    (Original post by 13 1 20 8 42)
    I did it by a substitution; there may be a quicker way. Express 2x^2 + 4x + 3 in terms of (x + 1)^2 and the kind of substitution to do might jump out at you.
    Yup that's what I did
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    (Original post by 13 1 20 8 42)
    I did it by a substitution; there may be a quicker way. Express 2x^2 + 4x + 3 in terms of (x + 1)^2 and the kind of substitution to do might jump out at you.
    Thanks. For 10, what's the suitable, non-trigonometric substitution?
    I tried integration by parts, but 20 minutes later and I'm nowhere.
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    (Original post by multiratiunculae)
    Thanks. For 10, what's the suitable, non-trigonometric substitution?
    I tried integration by parts, but 20 minutes later and I'm nowhere.
    Do you mean 9b?
    If so, note that the derivative of x^2 + 6x is 2x + 6 = 2(x + 3)
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    (Original post by 13 1 20 8 42)
    Do you mean 9b?
    yes.
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    (Original post by multiratiunculae)
    yes.
    see my edit to the last post
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    (Original post by multiratiunculae)
    No, but a mature person wouldn't stick rainbow colours on their profile picture, would they? You'd look older without them..

    ANYWAY; DOES ANYBODY HAVE OTHER DECENT MATHS PROBLEMS?
    Use proof by induction to prove the Maclaurin's Series of \tanh^- ^1 (x)
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    (Original post by Andy98)
    Use proof by induction to prove the Maclaurin's Series of tanh^(-1) x
    hyperbolic arctan?

    I said A-levelish
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    http://www.mathsnetalevel.com/1459

    :teeth:
 
 
 
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