HSC 2013 Maths Marathon (archive) (1 Viewer)

ColdLipstick · Oct 18, 2013

Re: HSC 2013 2U Marathon

anthony_wheels said:
I know it's a very 'shonky' proof/deduction lol... How could I improve it? View attachment 28805

If I was marking this, I would give it full marks.
If you want to 'improve' it, I guess you should focus more on the fact that perfect squares cannot have a difference of 1 as that is the heart of the solution.

Well done.

nerdasdasd · Oct 18, 2013

girlworld_club said:
Having problems with this question, so easy, but can't get the answer.

The sum of 50 terms of an arithmetic series is 249 and the sum of 49 terms of the series is 233. Find the 50th term of the series.

I used simultaneous equations to find d, and from that , I got a.

RealiseNothing · Oct 18, 2013

Re: HSC 2013 2U Marathon

Why is everyone using simultaneous equations to find 'd' fuck.

HeroicPandas · Oct 19, 2013

Re: HSC 2013 2U Marathon

$\lim_{x\rightarrow 0} sinx \sin\left ( \frac{1}{x} \right )$

Menomaths · Oct 19, 2013

Re: HSC 2013 2U Marathon

What topic does the parabola, vertix, directric etc come under? Can't seem to find it in my book

Carrotsticks · Oct 19, 2013

Re: HSC 2013 2U Marathon

Menomaths said:
What topic does the parabola, vertix, directric etc come under? Can't seem to find it in my book

The Parabola, or Parametric Equations.

Menomaths · Oct 19, 2013

Re: HSC 2013 2U Marathon

Carrotsticks said:
The Parabola, or Parametric Equations.

Is that in Fritzpatrick?

Sy123 · Oct 19, 2013

Re: HSC 2013 2U Marathon

$Give an example of a function$ \ \ f(x) \ \ $such that$

$f(AB) = f(A) + f(B) \ \ $for positive values of$ \ A,B$

Carrotsticks · Oct 19, 2013

Re: HSC 2013 2U Marathon

Sy123 said:
$Give an example of a function$ \ \ f(x) \ \ $such that$

$f(AB) = f(A) + f(B) \ \ $for positive values of$ \ A,B$

lol what's with you and functional equations recently?

Carrotsticks · Oct 19, 2013

Re: HSC 2013 2U Marathon

Menomaths said:
Is that in Fritzpatrick?

Not too sure tbh. Don't have it on me atm.

Sy123 · Oct 19, 2013

Re: HSC 2013 2U Marathon

Carrotsticks said:
lol what's with you and functional equations recently?

I've got secret insider information into the contents of the exams next week

and I'm trying to sabotage you all

Carrotsticks · Oct 19, 2013

Re: HSC 2013 2U Marathon

wat

Trebla · Oct 19, 2013

Re: HSC 2013 2U Marathon

Menomaths said:
What topic does the parabola, vertix, directric etc come under? Can't seem to find it in my book

In the syllabus it falls under 'The Quadratic Polynomial and the Parabola'

SpiralFlex · Oct 19, 2013

Re: HSC 2013 2U Marathon

Sy123 said:
$Give an example of a function$ \ \ f(x) \ \ $such that$

$f(AB) = f(A) + f(B) \ \ $for positive values of$ \ A,B$

Reading linear algebra?

SpiralFlex · Oct 19, 2013

Re: HSC 2013 2U Marathon

codislife said:
ITT: 50% 3 unit questions

Not really 3U but requires a bit of foresight and experience.

Menomaths · Oct 19, 2013

Re: HSC 2013 2U Marathon

Trebla said:
In the syllabus it falls under 'The Quadratic Polynomial and the Parabola'

Found it

Damn this looks scary considering I've never seen this topic of maths before

Menomaths · Oct 19, 2013

Re: HSC 2013 2U Marathon

$Solve for x$

$2log(x-1) + logx - log4x =0$

Klaymen · Oct 19, 2013

Re: HSC 2013 2U Marathon

Menomaths said:
$Solve for x$

$2log(x-1) + logx - log4x =0$

Sorry if I make mistakes with the editing and such, I'm a noob on this website - as you can probably tell by my attempt at using $and not knowing how to input the characters alpha and beta. [tex]2log(x-1)=log4x - logx$
$(x-1)^2 = 4$
$x^2 -2x-3=0$
$x=3$ or $x=-1$
But $log(-1)$ is undefined,
Therefore $x=3$

A nice question I saw in a textbook (not sure if textbook questions are allowed here; it's from SK Patel's book):

If (alpha) and (beta) are the roots of
$x^2 + px + q = 0$ ,
find the equation whose roots are (alpha) - (beta) and (beta) - (alpha).

mahmoudali · Oct 19, 2013

Re: HSC 2013 2U Marathon

Sy123 said:
$Give an example of a function$ \ \ f(x) \ \ $such that$

$f(AB) = f(A) + f(B) \ \ $for positive values of$ \ A,B$

y=ln(x) mad bro?

Carrotsticks · Oct 19, 2013

Re: HSC 2013 2U Marathon

mahmoudali said:
y=ln(x) mad bro?

Why would he be mad, considering that is one of the obvious choices?

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