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    (Original post by twig)
    Warwick or UCL for insurance? Both for straight maths; same offer of A*AA (will find out my A2 maths grade by march, so hopefully will need two As in june).
    It will be Warwick or Durham for me...didn't like UCL or Imperial, and Imperial despite the fact they said they would give me an offer ages ago still haven't updated my track which is just slack
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    ----------- Need Help on This--------------

    You have a piece of string.
    If you were asked to make a shape with the maximum possible area then would you:
    1. make a square
    2. make a circle
    3. Cut it up and make one of both


    So far, after around 2 pages pf algebra I have made little progress.
    Say that the length is l.

    Area of square: l^2 / 16

    Area of circle: l^2 / 4pi

    The circle wins as 4pi<16

    If we cut it up in this ratio: l = (al/b) + [(b-a)l]/b then we have two combinations, one where the first part of the string is used to make a circle and the other is used to make a square and the other combination is where they switch, the two combos I get are:
    1. [(b-a)^2l^2]/(16b^2) + (a^2l^2)/(pi4b^2)

    2. (a^2l^2)/(16b^2) + [(b-a)^2l^2]/(pi4b^2)

    I now need to find which of the 3 (above 2 and area of the circle one) is the biggest right ?

    I have done many pages of algebra but just ending up with inequalities that I cannot solve :confused:.

    Any help please .
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    (Original post by Edwin Okli)
    I was just so conscious of how long I had spent redoing the Dijkstra's question (I figured out that I had missed out some working values when my shortest route included G...) and doing the bubble sort question (I was really hoping that it wouldn't come up). When I got to the linear programming question I thought, &quot;I'm going to run out of time&quot;, so it didn't help when I had to spend time working out points in the middle of lines. But the critical path analysis question was quite nice this year bearing in mind the last part was a simple Gantt chart. Scheduling diagrams seem to be becoming rare and I was surprised to see no questions on critical activities this year.
    I've replied via private message.....
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    (Original post by Aristotle's' Disciple)
    Man I have D1 AND C4 retake on Monday, fml.
    Aww good luck!
    I have C3 on monday....
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    (Original post by member910132)
    ----------- Need Help on This--------------
    This isn't really the place for this sort of thing, but:

    I think rather than associating a ratio with your division a simple subtraction statement suffices:

    Let l-x be the length given to the circle, and thus x is the length given to the square (note the specific cases correspond to x=l,0


    Then A= \frac{(l-x)^2}{4 \pi}+\frac{x^2}{16}

    Now work out \frac{dA}{dx} and  \frac{d^2A}{dx^2} and find the max in the interval and it should fall out.

    Spoiler:
    Show
     \frac{dA}{dx}=\frac{-2(l-x)}{4 \pi} + \frac{x}{8}= \frac{(4+ \pi)x-4l}{8 \pi}
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    (Original post by aprilannep)
    Hey! I applied to Southampton too! Don't need to worry about anything, they took FOREVER to give me a reply.. I'm sure everything will go well Is it going to be your firm?

    Good luck with C3 on Monday! I, myself is gna be taking that exam too. So good luck to both of us :P
    WOO! I really wanna go there :/ Just scared to be rejected D; yeah it will be my firm! and Queen Mary will be my insurance depending on if I get an offer or not o_o
    Good luck to both of us! and everyone else doing it! I honestly just want to get it over and done with
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    (Original post by TheMagicMan)
    This isn't really the place for this sort of thing, but:

    I think rather than associating a ratio with your division a simple subtraction statement suffices:

    Let l-x be the length given to the circle, and thus x is the length given to the square (note the specific cases correspond to x=l,0


    Then A= \frac{(l-x)^2}{4 \pi}+\frac{x^2}{16}

    Now work out \frac{dA}{dx} and  \frac{d^2A}{dx^2} and find the max in the interval and it should fall out.

    Spoiler:
    Show
     \frac{dA}{dx}=\frac{-2(l-x)}{4 \pi} + \frac{x}{8}= \frac{(4+ \pi)x-4l}{8 \pi}
    You would also have to form another expression for when l-x is given the sqaure and x given to the circle right ?
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    (Original post by member910132)
    You would also have to form another expression for when l-x is given the sqaure and x given to the circle right ?
    No,

    l-x, and x already 'cover all possibilities' if you like.
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    (Original post by Caassaa)
    WOO! I really wanna go there :/ Just scared to be rejected D; yeah it will be my firm! and Queen Mary will be my insurance depending on if I get an offer or not o_o
    Good luck to both of us! and everyone else doing it! I honestly just want to get it over and done with
    Cool! Finally, someone who wants to do Maths at Soton ^^ I can't decide wether to put it as my firm or not.. Why Southampton btw, if you don't mind me asking? it might help me with making my decision :P

    My teacher said the 2010 papers were easy, 2011 were horrid. so hopefully, 2012 papers will be easy? hopefully!
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    (Original post by Thrug)
    No,

    l-x, and x already 'cover all possibilities' if you like.
    But how is that surely only one string can go to the circle and the other to the square ?
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    (Original post by aprilannep)
    Cool! Finally, someone who wants to do Maths at Soton ^^ I can't decide wether to put it as my firm or not.. Why Southampton btw, if you don't mind me asking? it might help me with making my decision :P

    My teacher said the 2010 papers were easy, 2011 were horrid. so hopefully, 2012 papers will be easy? hopefully!
    I went to the open day for Soton and I actually really liked the lecture and the day in general and the University is beaautifull~! Better than imperial shockingly... I couldn't even hear what the man was saying in the imperial open day... and he had some awkward acent.. :confused: LOL

    Where else did you apply? ;o I actually liked the 2011 papers D: and the 2010 ones o_o I didn't like the Jan 2007 when I first looked at it aha but I'm gonna do it again tonight ^_^
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    (Original post by member910132)
    But how is that surely only one string can go to the circle and the other to the square ?
    As x ranges between 0 and l, l-x also ranges between l and 0. Both are continuous so all values are represented
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    (Original post by Caassaa)
    I went to the open day for Soton and I actually really liked the lecture and the day in general and the University is beaautifull~! Better than imperial shockingly... I couldn't even hear what the man was saying in the imperial open day... and he had some awkward acent.. :confused: LOL

    Where else did you apply? ;o I actually liked the 2011 papers D: and the 2010 ones o_o I didn't like the Jan 2007 when I first looked at it aha but I'm gonna do it again tonight ^_^
    I applied to Southampton, UCL, Manchester, Birmingham and Aston. wbu ?
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    Good luck to you all
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    Hiya!
    My boyfriend's applied for maths and doesn't use TSR so I thought I'd nosey for him....
    has anyone heard from Leeds yet?
    Thank you
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    (Original post by RunLikeAFairy)
    Hiya!
    My boyfriend's applied for maths and doesn't use TSR so I thought I'd nosey for him....
    has anyone heard from Leeds yet?
    Thank you
    No i havent!! Its the only one i'm waiting for though.....
    (Very kind of you!)
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    (Original post by BeccaCath94)
    No i havent!! Its the only one i'm waiting for though.....
    (Very kind of you!)
    Thank you! He was just concerned that he hadn't heard anything!
    My offer came through pretty quickly (but it's for law) but it's very much based on department I guess!
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    anyone heard from Imperial G104....? is G104 more competitive than G100?
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    (Original post by RunLikeAFairy)
    Thank you! He was just concerned that he hadn't heard anything!
    My offer came through pretty quickly (but it's for law) but it's very much based on department I guess!
    No problemo....i'm getting pretty impatient as i heard from all my other 4 before christmas!!
    Yeah it differs for department as lots of language applicants have offers....
    Maths is a popular course i guess...
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    (Original post by hamina93)
    anyone heard from Imperial G104....? is G104 more competitive than G100?
    Yep, I have an offer for G104, the conditions are on a different level though
 
 
 
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