Login

Welcome, Guest. Please login or register.

November 01, 2025, 03:13:03 pm

Author Topic: Andiio's SM Questions Thread  (Read 8628 times)  Share 

0 Members and 1 Guest are viewing this topic.

m@tty

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 4324
  • Respect: +33
  • School: Heatherton Christian College
  • School Grad Year: 2010
Re: Andiio's SM Questions Thread
« Reply #60 on: March 22, 2011, 11:49:28 pm »
0
What do you mean?

If I am understanding you correctly then you are asking about end points of a line?

You can have restrictions on any of the rays/lines/circles/ellipses.

For example, with:



You'll get a hole at

Or you could have


top half of a circle.

There is absolutely no reason why you can't have restrictions/endpoints in the complex plane.

And yeah, the endpoint of a ray is always an open circle (a ray of length zero has no direction).
« Last Edit: April 04, 2011, 10:30:29 pm by m@tty »
2009/2010: Mathematical Methods(non-CAS) ; Business Management | English ; Literature - Physics ; Chemistry - Specialist Mathematics ; MUEP Maths

96.85

2011-2015: Bachelor of Aerospace Engineering and Bachelor of Science, Monash University

2015-____: To infinity and beyond.

Andiio

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1209
  • Respect: +14
Re: Andiio's SM Questions Thread
« Reply #61 on: April 04, 2011, 09:40:26 pm »
0
Could someone please help me with this vector Q?

Q: OAB is a triangle. OL, AM and BN are the medians.
a) Show that OG = 2/3 OL and AG = 2/3 AM
b) Hence show that BG = 2/3 BN
2010: Chinese SL [43]
2011: English [47] | Mathematical Methods CAS [41]| Specialist Mathematics [38] | Chemistry [40] | Physics [37]
ATAR: 99.55

moekamo

  • Victorian
  • Forum Obsessive
  • ***
  • Posts: 275
  • Respect: +4
Re: Andiio's SM Questions Thread
« Reply #62 on: April 04, 2011, 09:56:16 pm »
0
I'm pretty sure thats a result from that comes up in the 'medians of a triangle are concurrent' proof, which i found here:

http://vce.atarnotes.com/forum/index.php/topic,6818.msg82777/topicseen.html
2nd Year BSc/BEng @ Monash

Andiio

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1209
  • Respect: +14
Re: Andiio's SM Questions Thread
« Reply #63 on: April 06, 2011, 08:33:20 pm »
0
Thanks!

Got another question: could someone please explain how to do this?

Find the minimum value of f(x) when f(x) is a^2tan^2(x) - a[tan(x)] + b, where a, b are non-zero constants.

Thanks!
2010: Chinese SL [43]
2011: English [47] | Mathematical Methods CAS [41]| Specialist Mathematics [38] | Chemistry [40] | Physics [37]
ATAR: 99.55

TrueTears

  • TT
  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 16363
  • Respect: +667
Re: Andiio's SM Questions Thread
« Reply #64 on: April 06, 2011, 08:36:11 pm »
0
Hint let u = tanx
PhD @ MIT (Economics).

Interested in asset pricing, econometrics, and social choice theory.

Andiio

  • Victorian
  • Part of the furniture
  • *****
  • Posts: 1209
  • Respect: +14
Re: Andiio's SM Questions Thread
« Reply #65 on: April 06, 2011, 09:24:58 pm »
0
Also, just a simple implied domain question.

Why is the implied domain of y = sin^-1(x^2) equal to [-1, 1]?

I tried to use composite functions to explain it but am not really sure.

Thanks!

NVM: Worked it out a second after I posted. :P
« Last Edit: April 06, 2011, 09:29:30 pm by Andiio »
2010: Chinese SL [43]
2011: English [47] | Mathematical Methods CAS [41]| Specialist Mathematics [38] | Chemistry [40] | Physics [37]
ATAR: 99.55