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  1. porcupinetree

    2015ers Chit-Chat Thread

    Yeah alright. Started off the morning by finally revising the AoS (I've been putting it off since the start of the hols) and writing an essay for it. Then I did a past 4U trial and now I am currently changing one of my creative writing stories. It originally was (kind of) about a father abusing...
  2. porcupinetree

    2015ers Chit-Chat Thread

    Hey y'all, I'm currently procrastinating (not too unusual for me) so I figured I'd say hi on this thread :wavey: How's everyone's weekend been so far?
  3. porcupinetree

    HSC 2012-2015 Chemistry Marathon (archive)

    re: HSC Chemistry Marathon Archive Next Q: During your practical work, you performed a first-hand investigation involving an equilibrium reaction. (i) Outline the procedure you used. (ii) Explain how you analysed the equilibrium reaction qualitatively.
  4. porcupinetree

    Official 2015 Bored of Studies Seminars @ University of Sydney

    Are Extension 2 students encouraged to attend the first seminar?
  5. porcupinetree

    Does God exist?

    I hope you'll forgive my typo - it was actually Surah 276 rather than 277. The Ezekiel verse comes from the period of the old covenant - Jesus had not even come to Earth. What I think the verse is getting at, is that God is just in his dealing of sin: he won't charge people incorrectly, and he...
  6. porcupinetree

    Does God exist?

    Yes you're quite right, one major difference is the status of Jesus. However there are some other differences, e.g. the characteristics of God/Allah (contrast Romans 5:8 "God demonstrates his own love for us in this: while we were still sinners, Christ died for us" with Surah 2:277 "God loves...
  7. porcupinetree

    Does God exist?

    My advice (from a Christian perspective): I personally have seen many people try to take this route, of attempting to have the most 'fun' in their youth and then become more religious later in life. I can virtually guarantee that this plan won't work, and there's several problems with it which...
  8. porcupinetree

    HSC 2015 MX2 Integration Marathon (archive)

    Re: MX2 2015 Integration Marathon Thx for the link. Just had a go at redoing my solution earlier on it: \\ \int { { x }^{ 8 }\sin { { x }^{ 3 } } \cos { { x }^{ 3 }\tan { { x }^{ 3 } } dx } } \\ let\quad u\quad =\quad { x }^{ 3 }\\ \Rightarrow \quad du\quad =\quad 3{ x }^{ 2 }dx\\...
  9. porcupinetree

    HSC 2015 MX2 Integration Marathon (archive)

    Re: MX2 2015 Integration Marathon Lets get some recurrence formulae up in here. Next question: If In = integral between 0 and 1 of (x^n)sqrt(1-x)dx show that In = 4^(n+1) . n!(n+1)!/(2n+3)! Sorry for my lack of LaTeX
  10. porcupinetree

    HSC 2015 MX2 Integration Marathon (archive)

    Re: MX2 2015 Integration Marathon https://imgur.com/BnJZmcb
  11. porcupinetree

    HSC 2015 MX2 Integration Marathon (archive)

    Re: MX2 2015 Integration Marathon Next question: sqrt [(5-x)/(x-1)] dx
  12. porcupinetree

    HSC 2015 MX2 Integration Marathon (archive)

    Re: MX2 2015 Integration Marathon Next integral: sqrt (1 + sin2x) dx
  13. porcupinetree

    Simultaneity

    I have read many sources concerning the relativity of simultaneity, and have come to the following conclusion: If matches are struck (or an equivalent event) inside the train, the observer on the train will see the events as simultaneous whereas the observer outside will not see them as...
  14. porcupinetree

    Discovery Paper Sharing

    I'd love to be able to contribute to this, but unfortunately I don't have a copy of the AOS assessment that our school did. Is it still possible for me to get access? I think I'd really find it useful :)
  15. porcupinetree

    HSC 2015 MX2 Integration Marathon (archive)

    Re: MX2 2015 Integration Marathon Ah I see you mention the method that I used. Here was my working: https://imgur.com/LdJUPbh
  16. porcupinetree

    HSC 2015 MX2 Integration Marathon (archive)

    Re: MX2 2015 Integration Marathon https://imgur.com/lNE6F3Q
  17. porcupinetree

    HSC 2015 MX2 Integration Marathon (archive)

    Re: MX2 2015 Integration Marathon Thanks. That's quite interesting how you change the limits from 0 to infinity - it never would have occurred to me that this was even allowed, but it makes sense
  18. porcupinetree

    HSC 2015 MX2 Integration Marathon (archive)

    Re: MX2 2015 Integration Marathon Could you possibly post your working? :)
  19. porcupinetree

    HSC 2015 MX2 Marathon (archive)

    Re: HSC 2015 4U Marathon I wasn't familiar with a formal proof of this until a few minutes ago when I looked it up - it can apparently be proven using L'Hopital's rule. However, when I first encountered the original question (lim x -> 0 of xlnx) a while ago, I was happy to accept that it was...
  20. porcupinetree

    HSC 2015 MX2 Integration Marathon (archive)

    Re: MX2 2015 Integration Marathon I'm confused by this question; whenever I try and make a substitution, the boundaries become equal (usually both become 0 - this is what should have happened to you in your second last line)
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