Math Is Fun Forum

bobbym, thanks for helping me

I still don't entirely understand this,
'One way of knowing the radius of convergence is by your general knowledge of series. It is easy to see the when x>1 that series will not converge. Why, because the terms will not be getting smaller. Same thing for x<-1.'

How did you see that the series will not converge if x>1? is it like a guess and check thing?

hi bobbym,
thanks for replying,

Hmm,,, how do i quote? lol

You are right about how success isn't neccesarily defined in terms of wealth, but everyone has their own definitions for success.

For me personally, I would hate to live a normal man's life, I guess Jay Z's lyrics
'I rather die enormous than live dormant' describes my definition of success. A billionaire is just an expression for wealth, I would be quite happy with 150mil lol.

"it is not what you know but who you know."  So true, connections get you further in life than anything, but i just feels that people whos dumped so much money/loans into tertiary education should come out atleast better than working for minimum wage.

What I think could improve the current suituation is to increase the bench mark for university entrance and make the courses a lot harder, not in terms of money but in terms of academics so that only the elites who work hard can enter and graduate from university and therefore not be lumped into the same catagory as 'those who do not earn their degree' upon graduation.
At least then people won't waste money on further education when they do not need it.

Also, do you seriously use Taylor series as an engineer? I noticed that a lot of professors in engineering never really worked as an engineer, I'm just a first year student so don't extensively know the courses but prehaps they should switch degrees into teaching things with more practical use. When I graduated from highschool, I knew heaps about complex numbers but almost nothing about writing a CV, wasn't until i started looking for a job a month later that i really learnt it, and now I feel like I forgot everything about what i did learn in highschool.

wow i didn't realise the s word was sensored to 'math' lol

this question i got stuck at the part where you factorise out y-k

in suituations like this how did you factorise that?
any special methods or just lots of practise

heres a link link to the paper, it was reuploaded online

http://www.nzqa.govt.nz/assets/scholarship/2011/93202-qbk-2011.pdf

it's question 5b

Im going to be doing chemical engineering, hope the maths don't get too crazy in university
XD

thanks to everyone

Hi Gar,

wow thank you so much!
thats so genious i would never think of that lol

thanks for the solution man!

This is what i can get up to

int xSinx^3 dx

set u=x  u'=1

      v'=sinx^3    integrate, v= cosx-1/3cosx^3

then integrate by parts

=xcosx-1/3xcosx^3 - int (cosx-1/3cosx^3)

i can't et rid of the integral!!

please help me!

alright, this is the question word by word

A small restaurant seats 20 diners, and is full everynight. The chef knows from previous
experience that 40% of diners order steak. So she always has 12 in her fridge at beginning
of each night.
a customer can only order one steak maximum.

If a customer orders steak, what is the probability that he/she will recieve one?

to Gar '40% tables will order a steak means, even if there are 20 tables only 8 steaks will be ordered and everyone gets one!'

thats not quite true, not 40% of tables, each table has 40% chance of wanting to order one.
so there is a probability that all tables will want to order one

no it's not x(sinx)^3 or xsin^3x

it's xsin(x^3) brackets present in the question and x^3 inside the bracket