MedVision ad

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

KFunk

Psychic refugee
Joined
Sep 19, 2004
Messages
3,323
Location
Sydney
Gender
Male
HSC
2005
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

needmorecustomstatusspace
Joined
Feb 25, 2004
Messages
1,029
Gender
Male
HSC
2005
lol, sorry, couldnt resist the urge, the funk meister decided 2 show off but....
 

madmanjd

Member
Joined
Jul 30, 2005
Messages
48
Location
Don't stalk me: just fight me
Gender
Male
HSC
2005
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

needmorecustomstatusspace
Joined
Feb 25, 2004
Messages
1,029
Gender
Male
HSC
2005
let pi = x where x = 22 ln ( e ^ pi) / 22
 

KFunk

Psychic refugee
Joined
Sep 19, 2004
Messages
3,323
Location
Sydney
Gender
Male
HSC
2005
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

brown?
Joined
Nov 12, 2004
Messages
932
Gender
Female
HSC
2005
Hahahahahaha....
and you thought you had them...
Ahhhh...the pleasures of being smart...
:D:D:D
hahaha..
 

KFunk

Psychic refugee
Joined
Sep 19, 2004
Messages
3,323
Location
Sydney
Gender
Male
HSC
2005
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

But pieces of what?
Joined
Jun 12, 2004
Messages
6,600
Gender
Male
HSC
2005
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

pamplemousse
Joined
Apr 24, 2004
Messages
2,590
Gender
Female
HSC
2005
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.

For 2004:
Males: 2128
Females: 1386
Total: 3514

% females: 40%

For 2003:
Males: 2097
Females: 1335
Total: 3432

% females: 39%

For 2002:
Males: 1904
Females: 1056
Total: 2960

% females: 36%

For 2001:
Males: 1670
Females: 908
Total: 2578

% females: 35%
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

needmorecustomstatusspace
Joined
Feb 25, 2004
Messages
1,029
Gender
Male
HSC
2005
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

God
Joined
Sep 12, 2004
Messages
294
Location
bally
Gender
Undisclosed
HSC
2006
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

Member
Joined
Feb 17, 2004
Messages
46
Location
Newcastle
Gender
Female
HSC
2005
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

Psychic refugee
Joined
Sep 19, 2004
Messages
3,323
Location
Sydney
Gender
Male
HSC
2005
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

Psychic refugee
Joined
Sep 19, 2004
Messages
3,323
Location
Sydney
Gender
Male
HSC
2005
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

Member
Joined
Feb 17, 2004
Messages
46
Location
Newcastle
Gender
Female
HSC
2005
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

I'll stab ya
Joined
May 24, 2004
Messages
3,989
Location
Jumanji
Gender
Male
HSC
N/A
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 :)
 

Users Who Are Viewing This Thread (Users: 0, Guests: 1)

Top