How many people do maths ext 2? (1 Viewer)

KFunk

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Use the fact that |z - (a + ib)| = (x - a)<sup>2</sup> + (y - b)<sup>2</sup> and you should end up shading the region where
-&pi;/4 &le; arg z &le; &pi;/4 and x &le; 1 both hold.

|z| &le; |z - 2| where z = x + iy

x<sup>2</sup> + y<sup>2</sup> &le; (x - 2)<sup>2</sup> + y<sup>2</sup>
x<sup>2</sup> &le; x<sup>2</sup> - 4x + 4
4x &le; 4
x &le; 1
 

dawso

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lol, sorry, couldnt resist the urge, the funk meister decided 2 show off but....
 

madmanjd

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KFunk, while ur at it, and i actually wanna know this, tell me - whats the formula for working out the exact value of pi? :p
take ur time buddy...



if u get this im so rorted........
 

dawso

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let pi = x where x = 22 ln ( e ^ pi) / 22
 

KFunk

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madmanjd said:
KFunk, while ur at it, and i actually wanna know this, tell me - whats the formula for working out the exact value of pi? :p
take ur time buddy...



if u get this im so rorted........
&pi; = &sum; [ 2(-1)<sup>k</sup>3<sup>1/2 - k</sup>]/[2k+1] from zero to &infin;
 

ishq

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Hahahahahaha....
and you thought you had them...
Ahhhh...the pleasures of being smart...
:D:D:D
hahaha..
 

KFunk

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Or the pleasures of being a smart ass ;) :http://mathworld.wolfram.com/PiFormulas.html

Seriously though, in my other reply I wasn't trying to simply 'answer the question'. There are a lot of etheral techniques that people use for complex locus questions so I figured it might be helpful for you to see a solid algebraic approach which you can use on other questions that you come across.
 

Slidey

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Formula for the exact value of pi: pi = circumference on 2 lots of the radius.

If you notice the power series representation of arctan(x) is x - x^3/3 + x^5/5 - x^7/7 + ..., let x=1, arctan(1) is pi/4. This is a very slow way to calculate pi, though.
 

paper cup

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Slide Rule said:
Oh, I don't mind it. We're doing our last topic now - mechanics. That's pretty easy. It's the conics and circle geo that is the hardest, IMHO.

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they have those stats on us?
arrgghh

well, another question who did ext 2 and dropped out, and to tie in with the thread question, how many of you were chicks? :p
I wish I had stayed on, but my teacher has the experience of a maggot and after having to learn ext 1 last year by myself I just wasn't up to it. :(
 

dawso

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nah steele, my way is nice and simple....another one is:

pi = 365.24 sqrt (x + pi - 28)^2 / 365.24 + 254 ^2 / 64516 - 1

where x = 28

this is based on 365.24 being the number of rotations of the earth completed in one solar year, trust me, it works :D:D:D
 

Antwan23q

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dawso said:
nah steele, my way is nice and simple....another one is:

pi = 365.24 sqrt (x + pi - 28)^2 / 365.24 + 254 ^2 / 64516 - 1

where x = 28

this is based on 365.24 being the number of rotations of the earth completed in one solar year, trust me, it works :D:D:D
lol, funny guy, but ur other way was quicker, lol
 

roxy_chick

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cherryblossom said:
they have those stats on us?
arrgghh

I wish I had stayed on, but my teacher has the experience of a maggot and after having to learn ext 1 last year by myself I just wasn't up to it. :(
My teacher has only ever taught the subject once before...but then again there are only two of us in the 4u class...does anyone else have such a small class? it seems that every other school has heaps...
 

KFunk

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At my school we have quite a lot who do it but my class only has 3 people in it. One could argue that the extra teacher time is a bonus but we're pretty much in the same place given our reduced number of periods.
 

KFunk

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As in, I have 6 a week in a 3U class and 2 a week in a 4U class whereas most students doing 4U spend all their time in a 4U class and I think they get to spend a lot more time on 4U material and the links between 3U and 4U.
 

roxy_chick

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we get 3 lots of 72min periods per fortnight of 4unit...the other 9 periods per fornight are in a 2unit or 3 unit class
 

acmilan

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Before I decided 4 unit was a no go for me, we were doing 1 hour/week. Mixing that with no homework for it whatsoever == very bad marks for topic test :)
 

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