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Re: HSC 2013 4U Marathon Fixing faulty question

Re: HSC 2013 4U Marathon Another elegant solution, nice work. ======== $The complex numbers$ \ \ z \ \ $and$ \ \ w \ \ $satisfy the conditions$ z^{13}=w w^{11} = z $The imaginary part of$ \ \ z \ \ $ is$ \ \ \sin \left (\frac{m\pi}{n} \right ) \textbf{Where m and n are positive...

Re: HSC 2013 3U Marathon Thread Very elegant, nice work, my way was a little longer by considering expansions of (1+x)^2n and (1-x)^2n

Re: HSC 2013 4U Marathon $A circle$ \ \ c_0 \ \ $is placed inside the unit square$ \ \ s_0 \ \ $so that the edges of the squares are tangents to the circle$ $Inside the circle, square$ \ \ s_1 \ \ $is placed inside$ \ \ c_0 \ \ $such that the corners of the square touch the circle$ $A...

Re: HSC 2013 3U Marathon Thread $Simplify$ \binom{2n}{0} + \binom{2n}{2} + \binom{2n}{4} + \dots + \binom{2n}{2n}

Wow 20 minutes..... Yeah I reckon its doable but you would probably have to be damn fast for that

Hmmm I'm not sure about that I haven't really timed myself on it. And yeah I do something similar for conics, where I will think of how to approach the question before doing the question.

Ahhhh wow that is really efficient. Thanks for the tip!

I know how to integrate: \int 2x \cos x^2 \ dx easily if that's what you mean :s You just notice that it is in the form f'(x) cos f(x) so you can integrate it to make sin f(x) But yeah I can't think of an easy way to do your one

I try to keep reading time to planning out the last question though :/ Because in my exam, the questions will be difficult and I won't be able to flick through it like I did with Baulkam Hills I guess

ah ok :( 4U State rankers usually get 100/100 for 3U right?

Ok, so I have read from many people that for 4U Mathematics they distinguish state rankers by looking at 3U marks (in case there is a tie) Is this true? Or is it based on speculation? I would think that if there is a tie for state ranks they would see who made the better proofs, etc, and...

re: HSC Chemistry Marathon Archive pX \ \ $denotes the same operation as$ \ \ -\log X K_w \ \ $denotes the equilibrium constant of water$ ============== $The self-ionisation of water can be represented by the equilibrium reaction$ 2H_2 O \ \rightleftharpoons \ H_3O^+ \ + \ OH^- $i)...

Re: HSC 2013 4U Marathon \int \frac{\sin^3 x}{\cos^5x} \ dx = \int \tan^{3}x \sec^2 x \ dx = \frac{1}{4} \tan^4 x + c

Re: HSC 2013 4U Marathon pm'ed ===================== $Prove that the angle between the tangent to an ellipse, and the line from the centre to the tangent passing through the point of intersection, is never a right angle unless the ellipse is a circle or if the tangent is horizontal or vertical$

Re: HSC 2013 4U Marathon Prove that S'PS* is collinear Then use vertically opposite angles (this is how I did it)

re: HSC Physics Marathon Archive $A 5T magnetic field directed out of the page changes to 0T in 0.1 seconds.$ $Determine the emf generated in a wire loop of $ \ \ 2m^2 \ \ $ in area. Find the magnitude and direction of the current if the resistance of the wire loop is 20 Ohms$

570 hours of cs go :s

And this 'fair go' stuff is a little hypocritical as well. People who suck at English don't get a 'fair go' do they? Yet people who suck at maths can just ignore it. So therefore due to the fact that a fair go is abolished fundamentally, then we can deduce that the point of the HSC is not to...

I thought 4U maths should be aimed at the higher capable students. i.e. the top 10%. Just because everyone is doing it now doesn't mean difficulty needs to be lowered. 4U is 4U for a reason.