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  1. porcupinetree

    Calculus & Analysis Marathon & Questions

    Re: First Year Uni Calculus Marathon There was a tute question similar to that question, with x^2 instead of x^3. (But it's the same general process.) Challenge/exercise, just like the other maths marathons
  2. porcupinetree

    Calculus & Analysis Marathon & Questions

    Re: First Year Uni Calculus Marathon $Next question:$ $Show that $f$, where $f$ is defined by$ f(x) = \left\{\begin{matrix} x^3 & $if $x$ is rational$ \\ 0 & $if $x$ is irrational$ \end{matrix}\right. $is differentiable at $x=0$.$
  3. porcupinetree

    Calculus & Analysis Marathon & Questions

    Calculus & Analysis Marathon & Questions This is a marathon thread for single-variable calculus & analysis (mainly real and maybe complex analysis). Please aim to pitch your questions for first-year/second-year university level maths. Excelling & gifted/talented secondary school students are...
  4. porcupinetree

    HSC 2016 Maths Marathon (archive)

    Re: HSC 2016 2U Marathon
  5. porcupinetree

    HSC 2016 Maths Marathon (archive)

    Re: HSC 2016 2U Marathon \frac{e^{porcupinetreeisboredAF + 1}}{porcupinetreeisboredAF + 1} + C 3 deep 5 me
  6. porcupinetree

    HSC 2016 Maths Marathon (archive)

    Re: HSC 2016 2U Marathon Literally Paradoxica in his HSC exam when he has 2h 50min free because he does every other question by inspection within 10 minutes
  7. porcupinetree

    HSC 2016 Maths Marathon (archive)

    Re: HSC 2016 2U Marathon (Side note: to be more rigorous, I should have validated my move from my 5th line to my 6th line by proving that each term in the denominator of the 5th line is continuous. But ceebs.)
  8. porcupinetree

    HSC 2016 MX1 Marathon (archive)

    Re: HSC 2016 3U Marathon Unles I'm misreading something, the answer should be equal to 4a = 12 because a equals 3 in this case.
  9. porcupinetree

    HSC 2016 Maths Marathon (archive)

    Re: HSC 2016 2U Marathon
  10. porcupinetree

    Cambridge HSC MX1 Textbook Marathon/Q&A

    Re: Year 12 Mathematics 3 Unit Cambridge Question & Answer Thread $The favourable outcomes are as follows:$ $$(3,5) , (3,6), (5,3), (6,3)$$ $(Thus there are four favourable outcomes.) The number of possible outcomes (where a three appears on at least one of the dice) is 6^2 - 5^2 = 11.$ \\...
  11. porcupinetree

    HSC 2016 MX2 Complex Numbers Marathon (archive)

    Re: HSC 2016 Complex Numbers Marathon Rep power for a particular user is how many reputation points they can give to another user by clicking the reputation button. ie if person X, who has a rep power of 3, decides to give person Y, person Y's overall rep points will increase by 3. A...
  12. porcupinetree

    Are textbook questions helpful?

    Textbook questions can definitely be helpful to look over while you're learning a concept, because they're often focused on testing your understanding of a specific concept. But I wouldn't spend tol much time on textbook questions; you're better off doing past paper questions, because they'll...
  13. porcupinetree

    Year 10 Mathematics in Vietnam

    To be honest, I think the heart of the problem lies in the attitude of Australians towards education - and the actual educational system itself is influenced by this somewhat (e.g. it's possible not to do maths from year 10 onwards if you don't want to - the fact that this is the case is...
  14. porcupinetree

    Response Feedback (neutralisation)

    As far as I can see from the paper, the question is out of 3 marks (is that right?). Assuming that's the case, you'd probably get 2 out of 3 - I think you need to put a little more emphasis on the use of HCl, rather than focusing on the use of an alternative compound (eg NaHCO3). You could...
  15. porcupinetree

    How to learn 2U by self

    Find whatever works for you, really. Eddie Woo videos, as mentioned, can be very useful, but if you prefer learning straight out of a textbook, then do that.
  16. porcupinetree

    Question for Ex. HSC Students

    Same here, in a sense. OP, if you do decide to go to uni, there's always the possibility of transferring degrees - so don't fret too much. But it is a good idea to have a general idea of what you want to pursue before you go to uni.
  17. porcupinetree

    Question for Ex. HSC Students

    + 1 There's no rush to figure out what you want to do after school, even though it might feel so. Often it can be best to give a few things a go, eg working, volunteering, etc, and finding out that way what you're most interested in pursuing.
  18. porcupinetree

    Halal Snack Pack Appreciation Thread

    Enjoyed a quality snack pack on the way home from uni today #BanHaramDingosLikeEkman
  19. porcupinetree

    What do you guys take to uni?

    Just premake a meal on Sunday perhaps which you can freeze into portions / keep in the fridge, and then just bring it every day for the next week. No need to spend $40 on food each day lol
  20. porcupinetree

    Common Misconceptions about ATAR/HSC Terms Thread

    Some schools do indeed scale raw internal marks before submission. They shouldn't, but some do.
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