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  1. aDimitri

    HSC 2013-14 MX1 Marathon (archive)

    Re: HSC 2013 3U Marathon Thread oh true that. didn't account for ordering hold up let me fix
  2. aDimitri

    HSC 2013-14 MX1 Marathon (archive)

    Re: HSC 2013 3U Marathon Thread does this mean only 1 replacement occurs, and from the second draw on they stay out of the bag? terribly ambiguous question. i'm going to assume you mean you replace them all. i) (1/3)^2 * (2/3)^2 * 4C2 = 24/81 ii) 4 are drawn, for the sum to be greater than 9...
  3. aDimitri

    HSC 2014 MX2 Marathon ADVANCED (archive)

    Re: HSC 2014 4U Marathon - Advanced Level \text{Given that m & n are both positive integers, show that }\\ 17m^{2} + 4n^{2} \text{ and } 17n^{2} + 4m^{2} \text{ cannot both be perfect squares}
  4. aDimitri

    Form an equation describe the curve?

    but circle geo is 3U so the angle in a semi-circle theorem is outside of the scope of this course isn't it?
  5. aDimitri

    HSC 2014 MX2 Marathon (archive)

    Re: HSC 2014 4U Marathon Yes this is exactly what i meant. Don't the perpendicular bisectors meet at the circumcenter?
  6. aDimitri

    Need help with Rates involving two or more variables

    You need to get surface area in terms of volume so that you can find dA/dV I'd rather not spoon feed, tell me if you still can't get it :)
  7. aDimitri

    HSC 2014 Maths Marathon (archive)

    Re: HSC 2014 2U Marathon i was unaware this was 2u
  8. aDimitri

    HSC 2014 Maths Marathon (archive)

    Re: HSC 2014 2U Marathon oh that's 2U? well then.
  9. aDimitri

    HSC 2014 Maths Marathon (archive)

    Re: HSC 2014 2U Marathon substitution is a 3U method. i'm actually not sure how to do this question using 2U methods.
  10. aDimitri

    HSC 2014 MX2 Marathon (archive)

    Re: HSC 2014 4U Marathon is it sufficient to consider the construction of perpendicular bisectors of each of the sides of the triangle formed by the 3 points, and noting that for any 3 points, the 3 perpendicular bisectors all meet at one location, meaning there is only one possible center for...
  11. aDimitri

    Inequalities

    never allowed to use it lol
  12. aDimitri

    Differential Equation

    what happened to the B? shouldn't it be 2yy' = 2Ax + B
  13. aDimitri

    Anyone Do Their Maths Trials Yet?

    i did mine this morning. i thought mine was really easy tbh but i guess we'll see when the results come back! a lot of people found it quite difficult, but it was a lot easier than most of the past papers i've done (sydney grammar, independent etc.)
  14. aDimitri

    HSC 2013-14 MX1 Marathon (archive)

    Re: HSC 2013 3U Marathon Thread \\ i)\text{ } x = \pm1 \text{, } y = \pm\frac{\pi}{2} \\ ii)\text{ } x \neq 0 \text{, } y = \pm\frac{\pi}{2}
  15. aDimitri

    HSC 2012-14 MX2 Integration Marathon (archive)

    Re: MX2 Integration Marathon one application of IBP with dv/dx = x^m & u = (1-x)^n gave a solutions of (n/m)(same integral but m is now m+1, n is now n-1). By repeating the process n times, you get what i've got in my last post.
  16. aDimitri

    HSC 2014 MX2 Marathon (archive)

    Re: HSC 2014 4U Marathon ok i'm not 100% sure what constitutes letting z = x+iy Am i allowed to simultaneously solve arg(z-3-4i)-arg(z-2+2i)=\frac{2\pi}{3} \\ |z-3-4i| = |z-2+2i| Thus finding the equation of the circle?
  17. aDimitri

    HSC 2012-14 MX2 Integration Marathon (archive)

    Re: MX2 Integration Marathon great question. not sure how valid my solution is. i did IBP once, then said pattern follows such that... I = \frac{n!m!}{(n+m)!}\int_{0}^{1}x^{n+m}dx
  18. aDimitri

    HSC 2014 MX2 Marathon (archive)

    Re: HSC 2014 4U Marathon I = \frac{2\ln(\sec\alpha + \tan\alpha)}{3} + C \\ \text{Where } \sin\alpha = \frac{2}{3}\left(\cos\theta + \frac{1}{2}\right) cbb trying to simplify it LOL
  19. aDimitri

    How much % in CSSA trials = B6 MX1 roughly?

    he's talking about the HSC papers not CSSA EDIT: with 55/70, yes you're on track for an e4 definitely
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