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  1. fan96

    NESA Casio calculator ban debacle

    What are the other differences between this and the fx-82? Is it just being able to do arithmetic with complex numbers and the normal distributions thing?
  2. fan96

    English

    Yep. That's the problem when you prescribe and assess the same texts year after year. If you truly want to, you'll be able to find a way.
  3. fan96

    English

    Although I really hated HSC English (because it compulsorily counted towards the ATAR and most of it was not useful), I found the analysis skills involved to be occasionally useful - for example, when you're watching a movie or playing a story-driven game. You're never expected to be able to do...
  4. fan96

    HSC 2018-2019 MX2 Integration Marathon

    Admittedly, I went through a lengthy process (including looking up a standard integral table for \text{sech} ) and it was only at the end I realised that everything I did could be compressed into one substitution.
  5. fan96

    HSC 2018-2019 MX2 Integration Marathon

    4. \int_0^\infty \frac{x^2}{x^6+1}\,dx = \frac 13 \int_{0}^\infty \frac{1}{u^2+1}\,du \quad (u = x^3) = \frac 13 \cdot \frac \pi 2 = \frac \pi 6.
  6. fan96

    HSC 2018-2019 MX2 Integration Marathon

    I have a feeling this is not the fastest method... I = \int_0^1\left( \arcsin\left(\frac{x}{x+1}\right)\right)^2\,dx =\int_0^{\pi/6} \frac{y^2\cos y}{(1-\sin y)^2}\,dy \quad \left(y = \arcsin \left(\frac{x}{x+1}\right) \iff x = \frac{\sin y}{1-\sin y }\right) =\frac{\pi^2}{18}- 2...
  7. fan96

    Internal Course Transfer at UNSW and USYD

    For UNSW there is a difference between Adv Sci (Mathematics) and Adv Math, at least in terms of program structure. For example, MATH1081 is compulsory for Adv Math but not Adv Sci. The 2nd/3rd year core courses for Adv Sci and the Adv Math streams are also different. For the normal Science...
  8. fan96

    [HELP NEEDED] Year 11 Subject Selection

    It's whichever one you're personally interested in more. Scaling is nice, but if you don't enjoy the subject then you'll need to put in a lot of effort to get a good mark.
  9. fan96

    question on SIMULTANEOUS EQUATIONZ.

    If one of them is clearly more convenient, then pick that one. For example, if we have the system \begin{cases} 2x+7y &= 4 \\ 4x + 15y &= 3\end{cases} Then it would be smarter to eliminate x by doubling the first equation. The alternative is to multiply equation 1 by 15 and equation 2 by...
  10. fan96

    question on SIMULTANEOUS EQUATIONZ.

    A system of simultaneous equations is just a set of conditions. When we solve a system like this, we're simply finding and using different equations that represent the same conditions. Point being, whether you choose to do this step or that step first doesn't matter, because nothing you're...
  11. fan96

    Conflict in General Maths HSC paper 2018!?!

    Your answer doesn't work for the second equation: 3(3)-(-2) = 9 + 2 = 11 \neq 7.
  12. fan96

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    \frac{1+\sqrt{1+\frac{\sqrt{3}}2}}{\sqrt{1+\frac{\sqrt{3}}2}} \cdot \frac 22 = \frac{2+\sqrt{4+2\sqrt3}}{\sqrt{4+2\sqrt3}} = \frac{3 + \sqrt3}{\sqrt 3 + 1} = \frac{\sqrt 3 (\sqrt3+1)}{\sqrt 3 + 1} = {\sqrt 3}
  13. fan96

    Weird circle

  14. fan96

    Inverse Trig and Identities Questions

    ii) The line through AP has equation y = t(x+1) . (can you see why?) Solve this simultaneously with the equation for the unit circle to obtain a quadratic in x : (1+t^2)x^2+(2t^2)x+(t^2-1)=0 This equation tells us where the line intersects the circle. You could just throw the quadratic...
  15. fan96

    HSC 2018-2019 MX2 Integration Marathon

    For k > 0, \, n \in \mathbb{Z}^+, let I_n = \int x^k (\log x)^n \, dx. Prove that (k+1) I_n = {x^{k+1}(\log x)^n} - {n}I_{n-1}. Given that \lim_{x \to 0} x^k (\log x)^n = 0, Show that \int_0^1 x^k (\log x)^n \, dx= (-1)^n \frac{n!}{(k+1)^{n+1}}, \frac 1 e \int_0^e (\log x)^n \, dx =...
  16. fan96

    Weird circle

    Construct lines to the centre from each intersection point. This forms sectors of isosceles triangles. Because equal arcs of a circle subtend equal angles at the centre, you can find all the angles in each sector. Then solving for x should be easy. I believe the answer should be 60^\circ.
  17. fan96

    Volume Integration Question !!!!

    The standard formula for volumes of solids with similar cross-sections is V = \pi \int_a^b r^2\, dh (in this case, r = y, \,\,h=x) This can be thought of as approximating the volume of the solid with several cylindrical slices, and then making these slices thinner and thinner. The volume of...
  18. fan96

    Term 1 2019 Results Discussion Thread

    Not really, my team was great and it was really nice working with them. It was mostly due to: - our robot's parts being poor quality and some failing on us in final testing - bad marks on individually submitted reports, no feedback was given (having them squished in the last two weeks of term...
  19. fan96

    Term 1 2019 Results Discussion Thread

    ======================================================== T1 COMP1511 Programming Fundamentals.........95 HD T1 ENGG1000 Engineering Design...............64 PS T1 MATH1141 Higher Mathematics 1A............99 HD ======================================================== Term WAM...
  20. fan96

    Term 1 2019 Results Discussion Thread

    getting a 99 in math1141 was a really pleasant surprise... was expecting somewhere around 80-90.
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