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Any ring which is not an integral domain will have that property. Called zero devisors. for example consider the ring of integers modulo 4: 2*2 = 4 = 0 ; but 2 is not zero. ...it basically depends on the how you define your operations. For all I care you could define the multiplication to be...

looks correct to me. Assuming the smaller bowl is thin, the volume "ice bowl" can hold is the same as the volume of smaller bowl. [of course in all of these we are assuming the top of the bowls used are in the same plane, else it has to be factored in]

x -> 1/2 (-1 - Sqrt[-3 + 4 Sqrt[11]]); x -> 1/2 (-1 + Sqrt[-3 + 4 Sqrt[11]]); x -> 1/2 (-1 - i Sqrt[3 + 4 Sqrt[11]]); x -> 1/2 (-1 + i Sqrt[3 + 4 Sqrt[11]]). ...from the source of all wisdom: Mathematica ....here's how you do it by hand: 0 = x^4 + 2 x^3 + 3 x^2 + 2 x - 10 =...

I do. Honest. You just have to take a transform of what I say to see the true message :o

The simplest and the best: Pythagoras Theorem

don't question the gods of mathematics puny first year kiddo........:D you'lll get used to it!

try reading your text book. those questions are straight forward.

all. they don't put stuff in there in order just to make your life miserable.

damn. 2 years of uni didn't teach me to use my head. Never had heard of infinite sums. btw ... learn to see exaggerations when u come across them.

although you mention that the question is not HSC type; but even a general maths student knows how to that question. Could probably bet a year 10 kid could do that question. All you need is a pencil that can last long enough to draw a few semi straight lines back and forth. It doesn't belong...

here's a "solution"...did not spend time thinking. It might be wrong. I just wanted to do it like most year 11 kids would do:

yes. get one of those really old phones. It only allows you to use 160 characters :p....ignore that!

""best"" way to figure it our is: enroll in it->check timetable->drop subject....there may be a list of withdrawn units, but who cares :o

Re: Semester I 2007 - Chatter Thread! /begin{whining and winging} Don't know how many of you people do Physics and Maths, 3rd year; but why the hell are there so many clashes between Maths and Physics. MATH3962, MATH3961 and MATH3974 all clash with Physics one way or another. Haven't checked...

LOL: let m = 3^k then the line before the red line is = 0.5*(m-1+2m) = 0.5*(3m-1) <---the red line = 0.5*(3.3^k-1) = 0.5*(3^(k+1) -)

pLuvia: love your avatar. where did u get it from? :)

Use implicit differentiation in the first one: u^2 = 4-x^2 => 2u*du/dx = -2x =>-udu = xdx. then the Integral = Integral[(u^4-4u^2)du] integrated from 2 to 0. It gives 64/15.

damn why didn't I think of that. Thanks mate. Then again, screw you fro not allowing me get a new PC so i could play Oblivion on :mad1: ...means more time for studies....thnx :)

huh? what u mean if I was well?

hahahahah