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    (Original post by maths134)
    Ok so im sketching graphs and such and then come across this:

    x^y=y^x
    What does this look like as a graph? Ive tried and have no idea what it would look like... Thanks =]
    One idea is that any graph where the interchange of x & y yields the same graph is self-inverse. Also note (for example) that y=x is a solution to it. What might the general shape of the other bit(s) be? Can there be negative solutions? etc...
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    (Original post by maths134)
    Ok so im sketching graphs and such and then come across this:

    x^y=y^x
    What does this look like as a graph? Ive tried and have no idea what it would look like... Thanks =]
    I liked this graph. Where did you find the original question? Trying to similarly a good source of "different" graph sketching questions.

    Look here: http://www.thestudentroom.co.uk/show....php?t=1838826 for my attempt.

    Hope that helped (and if you find some nice graph sketching qs, keep them coming!)
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    (Original post by twig)
    I liked this graph. Where did you find the original question? Trying to similarly a good source of "different" graph sketching questions.

    Look here: http://www.thestudentroom.co.uk/show....php?t=1838826 for my attempt.

    Hope that helped (and if you find some nice graph sketching qs, keep them coming!)
    Thanks =D. I have a sheet of a load of graphs that I was sketching in prep for my interview. If anyone is interested in the others on the sheet, they are:
    y = xsinx
    y = xcosx
    y = (e^x)*sinx
    y = (e^x)*cosx
    y = lnsinx
    y = lncosx
    y = sin(1/x)
    y^3 = x^3 +1
    y = e^(sinx)
    y = (sinx)/x
    y = (lnx)/x
    y = sin(e^x)
    y = xlnx
    y = x^x
    y = x^x^x
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    (Original post by maths134)
    Thanks =D. I have a sheet of a load of graphs that I was sketching in prep for my interview. If anyone is interested in the others on the sheet, they are:
    y = xsinx
    y = xcosx
    y = (e^x)*sinx
    y = (e^x)*cosx
    y = lnsinx
    y = lncosx
    y = sin(1/x)
    y^3 = x^3 +1
    y = e^(sinx)
    y = (sinx)/x
    y = (lnx)/x
    y = sin(e^x)
    y = xlnx
    y = x^x
    y = x^x^x
    Nice, some of those look very interesting! Good job! *Thumbs Up*
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    (Original post by maths134)
    Thanks =D. I have a sheet of a load of graphs that I was sketching in prep for my interview. If anyone is interested in the others on the sheet, they are:
    y = xsinx
    y = xcosx
    y = (e^x)*sinx
    y = (e^x)*cosx
    y = lnsinx
    y = lncosx
    y = sin(1/x)
    y^3 = x^3 +1
    y = e^(sinx)
    y = (sinx)/x
    y = (lnx)/x
    y = sin(e^x)
    y = xlnx
    y = x^x
    y = x^x^x

    Thanks for this. Will get started!
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    Warwick Maths and Econ offer!
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    I know this is like a decade late compared to most of the people here: But Warwick offer. Allez!

    Oh, offer from Bath too.
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    Got an offer from Warwick and infact my offer constitutes no maths haha.
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    (Original post by Small123)
    Got an offer from Warwick and infact my offer constitutes no maths haha.
    Pahaha... Fair enough since you already have the A*A*2.

    Congratulations! :woo: Got my offer today too
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    (Original post by Beth1234)
    Pahaha... Fair enough since you already have the A*A*2.

    Congratulations! :woo: Got my offer today too
    Sweet! Warwick too? And well I was hoping I could sneak additional further maths in as that last A but they've specified it has to be chemistry or physics which isn't good :/
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    (Original post by Small123)
    Sweet! Warwick too? And well I was hoping I could sneak additional further maths in as that last A but they've specified it has to be chemistry or physics which isn't good :/
    Yup, Warwick too Offer was to get a 2 in any STEP.

    Well, it sort of makes sense - you need to have some sort of breadth in your education :P Cambridge might ask you for that too, you know. Shouldn't be very hard!
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    (Original post by Beth1234)
    Yup, Warwick too Offer was to get a 2 in any STEP.

    Well, it sort of makes sense - you need to have some sort of breadth in your education :P Cambridge might ask you for that too, you know. Shouldn't be very hard!
    Means I've gotta be running on all cylinders though hah :p:!
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    (Original post by Small123)
    Means I've gotta be running on all cylinders though hah :p:!
    Meh, just focus on maths and chemistry this year A-level physics is just plain boring...

    (Any physics lovers out there - I'm sorry, I didn't mean it... don't shoot me! :ahhhhh:)
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    (Original post by Beth1234)
    Meh, just focus on maths and chemistry this year A-level physics is just plain boring...

    (Any physics lovers out there - I'm sorry, I didn't mean it... don't shoot me! :ahhhhh:)
    That hurt. In the heart. And my soul.
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    (Original post by Beth1234)
    Meh, just focus on maths and chemistry this year A-level physics is just plain boring...

    [SIZE="1"](Any physics lovers out there - I'm sorry, I didn't mean it... don't shoot me! :ahhhhh:)[/SIZE]
    A level physics was quite boring, but astrophysics :love:
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    (Original post by ben-smith)
    That hurt. In the heart. And my soul.
    Hey, physics is a wonderful subject! The A-level that consists of little other than memorising definitions and mark schemes is boring... :yawn:

    (Original post by cpdavis)
    A level physics was quite boring, but astrophysics :love:
    No! Quantum physics ftw! :albertein:
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    (Original post by Beth1234)
    No! Quantum physics ftw! :albertein:
    imho, special relativity has a much nicer mathematical framework behind it.
    Poincare group :love:
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    (Original post by Beth1234)
    Hey, physics is a wonderful subject! The A-level that consists of little other than memorising definitions and mark schemes is boring... :yawn:



    No! Quantum physics ftw! :albertein:
    Although the link between quantum and astro are quite strong, I just find the study of stars much more interesting :moon:
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    (Original post by ben-smith)
    imho, special relativity has a much nicer mathematical framework behind it.
    Poincare group :love:
    It's all about the K-calculus, one fo the great misnomers of maths. I find it amazing that special relativity can be thought of via such a simple mathematical framework.
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    Got an interview for Worcester, oxford
 
 
 
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