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  1. integral95

    Question about sum and products of trig functions

    Basically when you expand the RHS ,(Product of trig functions) you end up with the LHS (sum of 2 trig functions). This conversion is useful in many cases, e.g if you have to cancel out terms or using integration.
  2. integral95

    relationships between roots and coefficients

    Yes you don't need to find a and b individually, but you'll need to find the values of a^2 + b^2 ab
  3. integral95

    polynomial

    $Now we consider the sum of roots and the sum of roots 2 at a time.$ \\ \\ -A = 2 \alpha + \frac{2}{\alpha} \\ \\ B = \alpha^2 + \frac{1}{\alpha^2} + 4 \\ \\ $Wtih proper subsitution , you should get the given result in the question.
  4. integral95

    polynomial

    This is where you consider the product of roots, which is 1. $Since$ \ \alpha \ $is a multiple root, then it must AT LEAST have a multiplicity of 2, we're also given that $ \frac{1}{\alpha} \ $ is a root, so if $ \ \alpha $ \ \ has a multiplicity of 3, then the roots would be $ \alpha ...
  5. integral95

    UNSW Subject Reviews.

    Yeah he's like a GOD, don't take him for granted. I've also heard bad things about Ellis, like during tutes he would scream at people who got an answer wrong, you wonder why people don't bother to answer.
  6. integral95

    HSC 2017 MX2 Integration Marathon (archive)

    Re: HSC 4U Integration Marathon 2017 My life has been a lie.
  7. integral95

    HSC 2017 MX2 Integration Marathon (archive)

    Re: HSC 4U Integration Marathon 2017 A bit tedious though, so after using log laws, u = cos2x, u = tan theta, f(x) = f(a-x), I got -1/64. is that right?
  8. integral95

    Unofficial School ranking list (SMH)

    *Looks at my school* 1 Band 6 out of 307 entries = 0.33% Yay my school is da best guys.
  9. integral95

    Uni VS High School

    The content given is a lot more face-paced,so falling behind is very common, thus there's a lot of cramming involved unless you're very dedicated.
  10. integral95

    HSC 2017 MX2 Marathon (archive)

    Re: HSC 2017 4U Marathon This is probably a vague explanation but... In the case where both roots are real. The sum of roots = -b/a, which is negative if a,b are either both positive or both negative. This implies that at least one of the roots is negative. Product of roots = c/a, if the...
  11. integral95

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread 20*(\frac{1}{2})^{12}
  12. integral95

    Ekman - complex no q's.

    It's all within the Extension 2 Mathematics syllabus, though they are much more advanced questions that are aimed at the higher achieving students.
  13. integral95

    UNSW 16/S2 Official Results Thread

    I cry so bad, the worst semester ever. REKTTTT
  14. integral95

    UNSW 16/S2 Official Results Thread

    I'm am so not ready for thisssss
  15. integral95

    UNSW 16/S2 Official Results Thread

    I don't want to know
  16. integral95

    UNSW chit chat thread

    Re: UNSW chit chat thread 2016 Bro that sucks so hard, I wish you the very best.
  17. integral95

    Help with Parametrics Needed.

    You have to always derive the formulas (i.e equations of the tangents/normals) unless they're explicitly given and you're told not to prove it. Never would you be allowed to just quote it in the HSC. There's not that much visualisations, just the parabola and a few straight lines lol, and HSC...
  18. integral95

    Cambridge Prelim MX1 Textbook Marathon/Q&A

    Re: Year 11 Mathematics 3 Unit Cambridge Question & Answer Thread Post it up, not everyone has the book.
  19. integral95

    Music 1 scaling

    Yeah I doubt music 1 would count since it's your worst course in terms of scaling. Like I've heard someone who got a band 4 in physics and band 5 in music 1, and the physics was counted into the ATAR. So yeah if you do really poorly for one of your subs, best to get a band 6 in music 1 if...
  20. integral95

    log base 1

    Yeah sorry if this was asked before, but this just crossed my mind. y = log_1(x) \Rightarrow x = 1^y = 1 So what I'm getting is that this particular log is only defined at x = 1? But if we use the change base formula y = ln(x)/ln(1) = \frac{ln(x)}{0} We can see that it's not...
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