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  1. A

    3D Vectors.

    Find the perpendicular distance between the point (2,1,3) and the line (1,-1,2) + t(2,0,-3)
  2. A

    Alternating Partial Harmonic Series

    Prove that 1-1/2+1/3-1/5+.....(-1)^n-1(1/n)>0 for all positive n integers by mathematical induction.
  3. A

    Word Count

    How many words should a 15 marker extended response be?
  4. A

    What's the best way to memorise content?

    I've noticed that whenever I try to rote learn content, it only stays within my short-term memory and I tend to forget it in a few days. What should I do after my "memorisation session" to ensure that I keep this content in my long-term memory? I can't memorise 60+ pages of notes in the couple...
  5. A

    de Moivre's

    (a)Use de Moivre’s theorem to express sin 8θ /sin θ cos θ as a polynomial in s, where s = sin θ. (b) Hence solve the equation x ^6 − 6x ^4 + 10x ^2 − 4 = 0, leaving the roots in trigonometric form
  7. A

    Vectors in Complex

    If alpha, beta, gamma and delta are complex numbers, then if alpha minus beta/gamma minus delta is imaginary, show that the join of alpha and beta is perpendicular to the join of gamma and delta.
  8. A

    Prelim Papers

    Does anyone know where to find some prelim papers? Preferably with answers.
  9. A

    Essay Structure

    For an introduction, is it better to introduce your standpoint straightaway, as in the first sentence or is better to have some preluding definitions/context before stating your viewpoint? For instance, "Australia has had a long history with migrants,.... "The legal system has been...
  10. A

    Thermo question

    It doesn't specify
  11. A

    Thermo question

    How much ice at 0°C could be melted with 1 kg of steam at 100 °C, assuming no loss of energy to the surroundings?
  13. A

    "Attempting to achieve the greatest good for the majority of society is a feature of which of the following?"

    a) An enforceable law b) An equitable law c) A common law d) A just law The main question is; What's the difference between a just and equitable law?
  14. A

    Kinetic Energy Question

    If a 160 g cricket ball is dropped from a height of 2.0 m onto a hard surface, calculate the height to which it will rebound. (Assume that 32% of the kinetic energy of the cricket ball is stored in it as it bounces on a hard surface).
  15. A

    Polynomial question help!!

    I think its called the vanishing condition whereby let's say if a quadratic has three roots it is then a zero polynomial.
  16. A

    Permutation question

    Thanks
  17. A

    Permutation question

    How many ways can 4 boys and 10 girls be arranged if the boys must not be seated next to any other boys?
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