I'm open UP!

[artyom_ch]

HI GUYS!
Since my university math examination is coming, I'd like YOU TO ASK ME any questions dealing with Mathematics, and I'll try to answer all of them. It could be some kind of extremely useful pre-examination for me and, I hope, it could help some of you. I'm looking forward to you replies !!
[post your questions here]

[artyom_ch]

No posts, no answers... It's a pity

[jonmack]

What kind of maths? Any? I finished my jan exams, so last thing i want to think about is more questions but i might think a few up if you give a bit more specific area (ie, one that i know about )

Good luck in your exams anyway.

[artyom_ch]

Hi! Since english is not my native language, some titles may differ.Anyway, : Linear Algebra(Vectors,Matrixes,Complex numbers), Trigonometry, Stereometry, Mathematical Analysis(Integrals, Differencials).
Thanx.

[jonmack]

Doesn't matter your native language isn't english when you're speaking the universal language of maths!

Hmmm, well seeing as i'm a physicist not a mathematician, i normally only deal with physically real maths and modelling, so super-complex numbers and the like are not my faute.

How about evaluating the integral from negative infinity to positive infinity of the function exp( -(x)^2 ) with repect to x?

(x^2 = x*x = x squared)

that sort of thing? I'll try in code tags

infinity         2
   /          -x
   |        e         dx
   /
-infinity

he-he - will probably turn out messed up. Have a go, sorry if not the right sort of topic.

[artyom_ch]

[the sherrif]

ok then, heres one for you (its more of a little project than a question)

i think i have found the corrent general forumula, lets see if you get the same one...

i have to investigate open-top boxes which are created from a piece of paper. 'a' and 'b' are the dimensions for this piece of paper, while 'c' is the length of each 4 small corner squares, which are cut out to be able to fold the paper into an open-box.

diagram:

________________________
!  !                !  !
------------------------
!  !                !  !
!  !                !  !
!  !                !  !
!  !                !  ! b
!  !                !  !
!  !                !  !
------------------------
!__!________________!__!
           a         c 

i have to investivate what the optimum value for 'c' is, which creates the best volume for each size of card.

to find the volume i have devised this simple equasion:

Volume = (a-2c)(b-2c)c

from this i must now devise a general formula for the optimum value for 'c' would be for ANY value of 'a' and 'b'. i understand that calculus would provide the answer.

im only 16 so go easy on the hard parts . im interested in how long this would take you - time yourself (it could be useful for your exam )

thankyou for your time.

[jonmack]

the sherrif
Ahha! Now i understand the question more! I remember doing this question for one of my GCSE couseworks too!

I'll leave it to artyom_ch to have a go though