Mathematics Applicants 2012 watch

1. (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...
2. (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!)
3. (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
4. (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*
5. (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!
6. Warwick Maths and Econ offer!
7. I know this is like a decade late compared to most of the people here: But Warwick offer. Allez!

Oh, offer from Bath too.
8. Got an offer from Warwick and infact my offer constitutes no maths haha.
9. (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! Got my offer today too
10. (Original post by Beth1234)
Pahaha... Fair enough since you already have the A*A*2.

Congratulations! 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 :/
11. (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!
12. (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 !
13. (Original post by Small123)
Means I've gotta be running on all cylinders though hah !
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! )
14. (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! )
That hurt. In the heart. And my soul.
15. (Original post by Beth1234)
Meh, just focus on maths and chemistry this year A-level physics is just plain boring...

[SIZE=&quot;1&quot;](Any physics lovers out there - I'm sorry, I didn't mean it... don't shoot me! )[/SIZE]
A level physics was quite boring, but astrophysics
16. (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...

(Original post by cpdavis)
A level physics was quite boring, but astrophysics
No! Quantum physics ftw!
17. (Original post by Beth1234)
No! Quantum physics ftw!
imho, special relativity has a much nicer mathematical framework behind it.
Poincare group
18. (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...

No! Quantum physics ftw!
Although the link between quantum and astro are quite strong, I just find the study of stars much more interesting
19. (Original post by ben-smith)
imho, special relativity has a much nicer mathematical framework behind it.
Poincare group
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.
20. Got an interview for Worcester, oxford

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