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Why is it necessary to separate bottom to average students?

If we had to have one system to cater all (like we do right now) Is it fair to lower the quality of a course in order to give people a fair go? Why does a fair go have to be a priority? Of course like you have said Spiral, they could make 3U (Non Math) subjects. But look at the school trials...

Its asking for PX/PY We get X and Y from finding the normal to the ellipse at P. So that's our first step, we must determine the equation of the normal at P. Once you derive so through differentiation and otherwise we find: P_N: \ \ \frac{by}{\sin \theta} - \frac{ax}{\cos \theta} = b^2-a^2...

Re: HSC 2013 4U Marathon Interesting question: By simply using the fact that x_0=1 \ \ x_1=1 \ \ x_2=2 We can make 3 equations in A B and C, we solve for all of them and we arrive at the conjecture: x_n = \frac{5}{4} -\frac{1}{4}3^{n} + \frac{1}{6}n \cdot 3^n However when trying to...

Re: HSC 2013 4U Marathon I made a mistake in my solution (by interchanging doing something with (sin^-1, cos^-1) in the middle of it hence muddling my solution up), it is indeed supposed to be: y=pi/2 -x So your first part is right. And my restriction on x is wrong (because for a while I...

Re: HSC 2013 4U Marathon $Show that the cartesian equation of the locus of the point S$ S(\cos^{-1}t, \sin^{-1}t) $Is given by$ y= \frac{\pi}{2}-|x| \\ \\ $Where$ \ \ \frac{-\pi}{2} \leq x \leq \frac{\pi}{2} \ , \ \ \ x \neq 0

re: HSC Chemistry Marathon Archive Alright I see Thanks

re: HSC Chemistry Marathon Archive Find the pH of a 10L solution of HCl that contains 1x10^-8 mol of HCl in it C=n/V C=1x10^-9 Therefore pH = 9 BUT, this can't be the case HCl is acidic and hence the real pH is really close to 7. So why doesn't the mathematics work? This isn't an actual...

Re: HSC 2013 3U Marathon Thread Naturally any n-sided polygon has 3 or more sides otherwise it wouldn't be a polygon :P

Re: HSC 2013 3U Marathon Thread $An$ \ \ n-$sided regular polygon exists$ $All interior angles of the polygon are below 180^{\circ}$ $Prove by process of mathematical induction that the sum of all interior angles of this polygon is$ S=180(n-2)^{\circ}

Re: HSC 2013 3U Marathon Thread What I did was find cosalpha cosbeta and cosgamma (in terms of numbers) Then show that 2 of them satisfy cos2theta =2cos^2 theta -1 ====== As for how they made that question, if we choose to find the ratio of sides in a triangle where 1 angle is twice the...

These questions become quite simple if you understand what differentiation truly means. If we differentiate a function, we get a function which tells us the gradient of the function that we differentiated. So if we want to find the gradient of the function f(x) at x=2 We have to compute...

Ok, so when she drops the ball, it travels 1.5m Then when it bounces it bounces back up at 1.5 \times 2/5 m Then it bounces back down at 1.5 \times 2/5 m Then it bounces back up at: 1.5 \times (2/5)^2 Then it bounces back down at: 1.5 \times (2/5)^2 So we can establish the pattern: S=...

Re: HSC 2013 4U Marathon The polynomial with roots: -\alpha_1, -\alpha_2, \dots -\alpha_{2n} S(-y)=s_{2n}y^{2n}-s_{2n-1}y^{2n-1} + \dots - s_1y+s_0 So we have a polynomial with roots +alpha and a polynomial with roots -alpha So how to make a polynomial that is a combination of these...

Alright I tried to blitz through a Baulkham Hills HYE It was a really easy exam but I kept making mistakes so I had to backtrack which made me lose even more time :/ I noticed that the places that I was losing most time with was Circle Geometry and Implicit Graphs Any tips specific to those...

Ah ok so we are just inspecting a+ib = x^2-y^2+i2xy Thanks, I try it out and see how fast I can do them =)

re: HSC Chemistry Marathon Archive Hahaha HSC Chemistry is such a joke

Could you give me an example of a shortcut? (besides obvious ones like inspection for polynomials)

Re: The p00n thread Maybe you find it easy because you have already accelerated it :s

What should I do to become blitz speed at MX2? For easy-er type questions I can solve them at an average speed (I think), and from what I've seen and heard, the main problem in MX2 is time management. So I want to know what I can do to maximise my solving speed in the easy stuff like Complex...