MAT Prep Thread - 2nd November 2016

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Four things that unis think matter more than league tables 08-12-2016
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    (Original post by ShatnersBassoon)
    I did the MAT 2014 paper and on question 1, part (j), I was confused about why \displaystyle 3x^2\int_{-1}^1 f(t) dt can be integrated to \left[x^3]_{-1}^1 \int_{-1}^1 f(x) du  . In fact, the entirety of the answer confuses me, really. Can anyone explain it to me in a simpler way than the Oxford solutions do?
    There's a couple of typos in the solutions - the integrand should read f(u)du or f(x)dx.
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    (Original post by LaserRanger)
    Actually, Oxford's solution is quite trivial except that it didn't explicitly specify that
    \displaystyle\int_{-1}^1 f(t) dt is a constant (but it shouldn't be hard to deduce that), hence the integral can be treated as a number when integrating.
    Yes, I did think \displaystyle\int_{-1}^1 f(t) dt was just a number so I replaced the last term with 3ax^2. But this will just integrate to ax^3 - I don't see the connection with \displaystyle\int_{-1}^1 f(x) dx.
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    (Original post by ShatnersBassoon)
    Yes, I did think \displaystyle\int_{-1}^1 f(t) dt was just a number so I replaced the last term with 3ax^2. But this will just integrate to ax^3 - I don't see the connection with \displaystyle\int_{-1}^1 f(x) dx.
    But you didn't put the limits for x in.
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    anyone else reading this and feeling like they're absolutely ****ed
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    I am applying for just Computer Science - looking at the feedback for each year they just state the mark required for questions 1-5 with no mention about questions 6 and 7?
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    what is this
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    (Original post by KloppOClock)
    what is this
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    Ah, I know which question you're talking about - it's the multiple choice question with 3 different integrals, yes?

    Just so you know, for that question, you don't need to evaluate the integrals at all. You technically can, but it's not on the syllabus and it'll probably take longer.

    Some more help if you need it:
    Spoiler:
    Show
    Think of it as 1/(cos3x). Is there a point where the graph's undefined between 0 and pi/8? If the graph starts at a certain value, can it ever "cross over" this undefined value?
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    (Original post by lewman99)
    Ah, I know which question you're talking about - it's the multiple choice question with 3 different integrals, yes?

    Just so you know, for that question, you don't need to evaluate the integrals at all. You technically can, but it's not on the syllabus and it'll probably take longer.

    Some more help if you need it:
    Spoiler:
    Show
    Think of it as 1/(cos3x). Is there a point where the graph's undefined between 0 and pi/8? If the graph starts at a certain value, can it ever "cross over" this undefined value?
    i just dont get why the dx is above the cos3x
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    Can anyone help explain G of the multiple choice questions from 2011?
    Thank you
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    (Original post by RichE)
    Yes, the bold is right.

    Well the next ones are hyperbolae, can you sketch those?

    And if you think about it you only need those hyperbolae to answer the rest of the second part.
    Hey, I still really can't follow the question feel so stupid. Im guessing that the max for x^2+y^2+4xy is 3? (Probably wrong) since its = (x+y)^2+2xy and (x+y)^2 is dominant term and we know the max for x+y so we just sub it in to get 3? I don't really know how to do the next 2 parts though, would you please guide me in the right direction?
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    (Original post by Moogle679)
    Can anyone help explain G of the multiple choice questions from 2011?
    Thank you
    think of it as a compound function
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    (Original post by danielhx)
    Hey, I still really can't follow the question feel so stupid. Im guessing that the max for x^2+y^2+4xy is 3? (Probably wrong) since its = (x+y)^2+2xy and (x+y)^2 is dominant term and we know the max for x+y so we just sub it in to get 3? I don't really know how to do the next 2 parts though, would you please guide me in the right direction?
    You're overcomplicating things. When is x^2+y^2 largest, when is xy largest, is there somewhere where both these things happen?
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    (Original post by Moogle679)
    Can anyone help explain G of the multiple choice questions from 2011?
    Thank you
    What is the function f for inputs between -1 and 0? Note x^2-1 is in that range.
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    dont get this
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    Anyone else find the specimen paper B much easier that the other papers??
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    (Original post by KloppOClock)
    think of it as a compound function
    (Original post by RichE)
    What is the function f for inputs between -1 and 0? Note x^2-1 is in that range.
    Name:  IMG_1261.jpg
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    This is what I did but I'm pretty sure it's wrong, nothing is clicking with me for this question for some reason
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    (Original post by Moogle679)
    Name:  IMG_1261.jpg
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    This is what I did but I'm pretty sure it's wrong, nothing is clicking with me for this question for some reason
    looks right
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    Ahhhh I'm so ***king nervous But not studying 👻🙀
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    (Original post by KloppOClock)
    x
    dont get this
    Spoiler:
    Show
    the function  \displaystyle f^{i}gf^{j}gf^{k} = 4x + 4k + 2j + i , you worked this out in iii)

    so if you want to find the different ways to get  \displaystyle 4x + 4m then comparing constant terms of your large function (the fgfgf thing) and the required function

    we get  \displaystyle 4x + 4k + 2j + i = 4x + 4m so therefore  \displaystyle 4k + 2j + i = 4m

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    (Original post by 17lina)
    Ahhhh I'm so ***king nervous But not studying 👻🙀
    only 23 days left already, time is going so fast :eek:
 
 
 
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