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  1. C

    4 Unit Revising Marathon HSC '10

    lnx * (x^2)/2 - (x^2)/4 Find the general solutions of: cos4\theta+cos2\theta = \sqrt{2}cos^2\theta + \frac{1}{\sqrt{2}}sin2\theta
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    Which option module are u doing in physics?

    Yes it may be easy, but you know that Options are scaled with how well the candidates doing those particular options topics did in the main paper. So say if everyone doing Astro Physics got less than 60% in the core paper but got 100% in the option paper, then that will not be very good. Of...
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    Which option module are u doing in physics?

    You're most likely better off doing the option topic that has the most candidates doing it (ie. in the state). So if you have a choice, I'd choose From Quantum to Ducks.
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    Which option module are u doing in physics?

    Ideally, you'd want to do the option topic that has the most candidates. That option would be Quantum to Ducks.
  5. C

    The probability of Probability in Ext 2 exams?

    It's stuff that you should know... even if you may not be directed tested on it.
  7. C

    4 Unit Revising Marathon HSC '10

    Prove by mathematical induction that \sqrt{1}+\sqrt{2}+\sqrt{3}+...+\sqrt{n}\le\frac{4n+3}{6}n \text{ for all integers }n\ge1
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    basic algebra and arithmetic "marathon".

    And it fools someone every time ;D
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    basic algebra and arithmetic "marathon".

    Find x: |x - 1| = -5
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    intergration by parts?

    The integration of an odd function about symmetrical limits is zero.
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    Where can I find HSC solutions?

    I think I did my own for quite a few of them... hmm where did I put them? :S The problem with the SuccessOne books is that their solutions sometimes are incomplete and might not get full marks in an actual HSC exam or school assessment. Eg. For Ext 1 they omit the "where n is any integer" for...
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    does 2u maths still count towards my atar?

    Yes Anna, you shouldn't be so fast to become the pot calling the kettle black :P
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    writing wrong student number

    Meh, if you forget yours, then make use of 3 unit probability... :P
  15. C

    what id the fasted way to solve a quartic

    You could try factorising out x^2 and then completing the square etc.
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    quick show question

    Not in Ext 2 lol... And yes LHS=RHS is the same as RHS=LHS.
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    proof for product rule(diff)

    That's not really a rigorous proof because you're assuming that the functions u and v are continuous...
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    3d trig :( ??

    lol no she's not. i, j and k vectors (ie. 3D coordinate geometry) are not in the current HSC course and thus doing that sort of thing in Ext 1 would be an overkill. In 3D trig for the Ext 1 course there are two major types. Namely they are the 'billboard' type, or the 'two triangle' type. Just...
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    3d trig :( ??

    ie. a waste of time... You don't do i, j and k vectors at HSC level.
  21. C

    integration

    you mean if tan(x/2)=t, where x=/= pi right? Just draw a right angled triangle (ie. a basic triad) and use the appropriate trig double angle formula.
  22. C

    integration

    \frac{sin^{-4}\theta}{-4} = -\frac{1}{4sin^{4}\theta}
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    integration

    Yep. I forgot the 1/3. Oh well, I just was just showing an alternative method that I thought of on the spot. LateX is hard to read when typing :(
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