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  1. porcupinetree

    Trial

    Iirc I usually tried to leave myself at least 45 mins for the option topic when doing past papers. But tbh, I don't think it'll make too much of a difference whether you allocate yourself 30 mins less or 45 mins less (or something around that range)
  2. porcupinetree

    USYD Chatter Thread 2016

    Re: USYD Chatter Thread - Semester 1 2016 literally same, actually
  3. porcupinetree

    Electric Charge

    +1 Electrons are simply one example of many particles which are charged.
  4. porcupinetree

    Electric Charge

    We don't really talk about electric fields having charges - they are the result of charged particles (in the same way that a gravitational field is the result of a particle having mass. The gravitational field itself doesn't have mass, but its strength depends upon the mass of the particle...
  5. porcupinetree

    USYD Chatter Thread 2016

    Re: USYD Chatter Thread - Semester 1 2016 As long as it's not as flavourless as most of easyway's other flavours
  6. porcupinetree

    2016ers Chit-Chat Thread

    Yah I think so lel What's your username?? Pm me if you like
  7. porcupinetree

    2016ers Chit-Chat Thread

    Remember the time paradoxica revealed my identity here on bos a few weeks ago
  8. porcupinetree

    Calculus & Analysis Marathon & Questions

    Re: First Year Uni Calculus Marathon $Let $f(x) = e^{x}$. $Given that $ f^{(n)} (x) = e^{x}, f^{(n)} (0) = e^{0} = 1.$ $Hence the $n$-th order Taylor polynomial around $x=0$ is given by:$ P_{n} (x) = \frac{1}{0!} x^{0} + \frac{1}{1!} x^{1} + \frac{1}{2!} x^{2} + \frac{1}{3!} x^{3}...
  9. porcupinetree

    USYD Chatter Thread 2016

    Re: USYD Chatter Thread - Semester 1 2016 it's a shame this thread is pretty quiet anyhow, how's your semester going so far?
  10. porcupinetree

    Calculus & Analysis Marathon & Questions

    Re: First Year Uni Calculus Marathon Nice Q's. I think I can do them all in my head but I'll have a proper go tomorrow
  11. porcupinetree

    Calculus & Analysis Marathon & Questions

    Re: First Year Uni Calculus Marathon Yup. I'm guessing you guys haven't?
  12. porcupinetree

    Calculus & Analysis Marathon & Questions

    Re: First Year Uni Calculus Marathon $\noindent$ $Find the $n$-th order Taylor polynomial for $ f(x) = \frac{1}{1+x} $. Hence find the $n$-th order Taylor polynomial for $ g(x) = \tan^{-1}x $.
  13. porcupinetree

    10 Units in Year 12 HSC

    Doing 10 units is fine, trust me. I would actually recommend doing 10 units unless you have a specific reason to do 12 units (e.g. you need to do x and y subjects to be well prepared for your future uni course). Plus all of your subjects are high scaling.
  14. porcupinetree

    Electric Charge

    A proton is simply an example of a particle with a positive charge. To be precise, it has a charge of +1.602 x 10^-19 C, or +1e, where e is the magnitude of the charge of an electron. It is absolutely possible to have positively charged particles that have a different magnitude of charge - an...
  15. porcupinetree

    Electric Charge

    Again not too sure what you're asking, but an electric field is created by the presence of positive or negative charges. If we have a composite particle made up of several positive and negative charges (eg an atom made up of protons and electrons [neutrons also, but they're neutral]), the...
  16. porcupinetree

    Electric Charge

    A proton and an electron are two different particles which each have an equal magnitude of charge (but opposite in sign). A lack of electrons can sometimes act as a positive charge, but isn't an actual positive charge in the same sense as a proton. Not too sure what you mean in your last...
  17. porcupinetree

    Mathematical induction

    $Using induction on n, prove that there are no positive integers $a, b$ and $c$ which satisfy the equation $a^{n} + b^{n} = c^{n}$, where $n > 2.$ Note: don't actually attempt this question
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