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# Current Year 12 Thread Mark VI Tweet

Discussion for A-Level students and for those choosing their A-Level subjects.

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1. Re: Current Year 12 Thread Mark VI
(Original post by Heptapus)
Woohooo! I am so busy now - I have 3 pieces of music to arrange.

Yep! Wooo

Okay. First question. Find G - Okay easy enough

Second question find the sum to this G^2(H-h) <- something like that - WHAT H!? I HAVE NO H ON MY PAPER!

Good luck!

Oh no, I hate it when stuff like that happens in an exam!
2. Re: Current Year 12 Thread Mark VI
(Original post by --emma--)

Good luck!

Oh no, I hate it when stuff like that happens in an exam!
I will do them after exams - I am just far too busy.
Thanks.

I found H.
3. Re: Current Year 12 Thread Mark VI
(Original post by Heptapus)
I do, for chat.

(Original post by chickenonsteroids)
maths is boring me now
Maths is never boring.
4. Re: Current Year 12 Thread Mark VI
Guys... are you still working on the inequalities question? I hope that I challenged you significantly.
5. Re: Current Year 12 Thread Mark VI
(Original post by Maths_Lover)
Maths is never boring.
I started with C1 and I think i'm just being lazy. Although some of the things i'm clueless about like integration

Maths ... be interesting again. otherwise I'll just work on physics instead
6. Re: Current Year 12 Thread Mark VI
(Original post by chickenonsteroids)
I started with C1 and I think i'm just being lazy. Although some of the things i'm clueless about like integration

Maths ... be interesting again. otherwise I'll just work on physics instead
Hang in there... the awesomeness will come with thinking deeply about the maths you learn.
7. Re: Current Year 12 Thread Mark VI
(Original post by Maths_Lover)
Of course! I'm sorry. Here it is:

http://www.shoup.net/ntb/ntb-v1.pdf

Proceed armed with patience and willpower. These books do not explain things as fully as I did the other day - you have to figure it out for yourself (which makes it all the more fun, of course).
Thanks

Yes I will need a LOT of patience and even more willpower!

That is where the fun lies, but only if you have all the time in the world to learn it properly - I guess this'll have to wait for summer.
8. Re: Current Year 12 Thread Mark VI
(Original post by 4mar_ar5en4l)
Thanks

Yes I will need a LOT of patience and even more willpower!

That is where the fun lies, but only if you have all the time in the world to learn it properly - I guess this'll have to wait for summer.
No problemo.

Indeed... like I have said, it took me a while to really get into Number Theory but once I got going, I couldn't stop. It's so much fun.

This summer is going to be epic... filled with maths and physics.

I can't wait until exams are over.
9. Re: Current Year 12 Thread Mark VI
(Original post by Maths_Lover)

I am not on it now though.
10. Re: Current Year 12 Thread Mark VI
Show that, if then

By the way... NO CALCULUS ALLOWED!!!

Hint:

Spoiler:
Show

Let .

Last edited by Maths_Lover; 02-05-2012 at 22:44.
11. Re: Current Year 12 Thread Mark VI
(Original post by Heptapus)

I am not on it now though.
Good.
12. Re: Current Year 12 Thread Mark VI
(Original post by Maths_Lover)
Show that, if then

By the way... NO CALCULUS ALLOWED!!!

Hint:

Spoiler:
Show

Let .

Hmm, I just considered very basic cases such as (x-p)^2, and then say if p=m, then obviously the situation holds. The tricky part was proving the degree of difference for (1) compared to (2), showing in particular that this was not 1. I think there are a few flaws in my argument because it became "obviously this" and "this" followed by a few expansions and "let the opposite be true", etc.

In hindsight, I think it may have been better to either square everything and equate various terms using the fact that p,m > 0, or to just use proof by contradiction.

Edit: I put x^2 + 2px + p^2 > x^2 + 2mx + p^2 in my workings. (before I defined x)
eh, 11pm maths, not the greatest idea ever.
Last edited by Llewellyn; 02-05-2012 at 23:17.
13. Re: Current Year 12 Thread Mark VI
(Original post by Maths_Lover)
Good.
Going on it now though.
14. Re: Current Year 12 Thread Mark VI
(Original post by Maths_Lover)
Show that, if then

By the way... NO CALCULUS ALLOWED!!!

Hint:

Spoiler:
Show

Let .

Is is something to do with the fact the minimum value of the middle bit is 1? So the LHS is clearly always less that one as p-m < P+m
15. Re: Current Year 12 Thread Mark VI
(Original post by wcp100)
Is is something to do with the fact the minimum value of the middle bit is 1? So the LHS is clearly always less that one as p-m < P+m
You are on the right track... What is the inequality actually telling us?

Consider this:

If you let and then multiply through by the denominator and do some simplification and shuffling around of terms, what do you get?
16. Re: Current Year 12 Thread Mark VI
(Original post by Llewellyn)
Hmm, I just considered very basic cases such as (x-p)^2, and then say if p=m, then obviously the situation holds. The tricky part was proving the degree of difference for (1) compared to (2), showing in particular that this was not 1. I think there are a few flaws in my argument because it became "obviously this" and "this" followed by a few expansions and "let the opposite be true", etc.

In hindsight, I think it may have been better to either square everything and equate various terms using the fact that p,m > 0, or to just use proof by contradiction.

Edit: I put x^2 + 2px + p^2 > x^2 + 2mx + p^2 in my workings. (before I defined x)
eh, 11pm maths, not the greatest idea ever.
See what I have said to wcp.

You may be over-complicating it a little.

There is plenty of room for error and missing things when doing late night maths.
17. Re: Current Year 12 Thread Mark VI
(Original post by Heptapus)
Going on it now though.

Not a good idea.
18. Re: Current Year 12 Thread Mark VI
Hyperphysics is amazing.
19. Re: Current Year 12 Thread Mark VI
Can any one doing biology help me on this simple question on biogas? Thanks!

http://www.thestudentroom.co.uk/show...4#post37387274
20. Re: Current Year 12 Thread Mark VI
(Original post by Heptapus)
I will do them after exams - I am just far too busy.
Thanks.

I found H.
Good idea.

Oh, well done!