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  1. Affinity

    Binomial theorem

    Quicker erh... sort of.. but it's a bit ad hoc: (y+1/y)^10 (y-1/y)^7 = (y^2 - 1/y^2)^7 (y+1/y)^3 the first bracket has powers (14,10,6,2,-2,-6,-10,-14) and the 2nd one has (3,1,-1,-3) so the only ways to get a power of -3 is to match -2 with -1 and 3 with -6 so it becomes (3 C 2) * (7 C 4) +...
  2. Affinity

    Tough ( ? ) Induction Question

    Strictly speaking you should also show that it is possible to achieve maximum intersection, it's not obvious that this could be done in a circle when there are many lines
  3. Affinity

    Two Binomial Questions

    First question: I'll present 2 ways of thinking which amounts to the same idea: ------------------------------------------------------------------------ use the binomial formula 2 times: [(1+x) + ax^2]^8 = SUM_{r=0 to 8} [8 Choose r] * (ax^2)^r * (1+x)^{8-r} Notice that for terms where r >=...
  4. Affinity

    Fitzpatrick or Cambridge?

    depends on who you are.. personally I prefer cambridge
  5. Affinity

    Non HSC Maths Marathon

    works.. Statisticians use the same in principal component regression.
  6. Affinity

    Graphmatica

    My recommendations: http://directory.fsf.org/math/ http://www.gnu.org/software/octave/ http://www.scilab.org/ All Free software (In both senses)
  7. Affinity

    cambridge 4u helpppp

    (i) If h=a+ib and k=c+id, the condition here is equivalent to ac + bd = 0 but a = c = -p and b = -d = sqrt(q-p^2) <-- (why?) so this means that the condition is 2p^2 - q = 0, and we require also that q=/=0 (why?) (ii) what's A and B? need the questions to do it unfortunately By...
  8. Affinity

    How hard is Actuarial Studies

    depending on who one is, actuarial can be hard for different reasons. There are those who have shaky maths background and have no clue of whats going on. And then, there are those who find it trivial in the first year and turned apathetic.
  9. Affinity

    wat subject i take year 2?

    second that That's surprisingly effective. It's usually the correct choice since there will be one or two who knows how things work.
  10. Affinity

    Hatshepsut, what do you think?

    Hmm with egypt most of your sources will be buildings and inscriptions. You need to link the claims such as In order to not create any controversy, the support of Great Nobles and High Officials was undertaken by Hatshepsut, thus allowing Hatshepsut to caim the support of the Amen priesthood to...
  11. Affinity

    Hatshepsut, what do you think?

    If you are only talking about the coregency, the later buildings will e irrelevant
  12. Affinity

    Coaching rates?

    You seem to have misunderstood me, and I don't quite get what you are saying here either. I didn't say anything about one should charge cheaper rates if one is willing to commute. rather I am just saying that the price that could and should be charged varies with the suburb which the session is...
  13. Affinity

    Tutoring for yr 7 - school cert. (chemistry, Biology)

    This isn't exactly the place to advertise to tutor year 7s.
  14. Affinity

    99.95 UAI TUTOR - CHEMISTRY/PHYSICS AT $15/hr

    wow, that's very cheap. definitely a bargain provided everything given is correct. Atleast you're not tutoring economics... :D
  15. Affinity

    edassist HSC Summer School Lectures 2007

    go get yourself a holiday
  16. Affinity

    uni tutors?

    There's a tutorial for almost every subject and the person teaching that class is called a tutor :P ------------- Ofcourse there are... but when and where will this madness stop? perhaps there will be work tutors soon. Some universities, such as UNSW has free organised programs .. for...
  17. Affinity

    Curve Drawing Templates..?

    It's not essential but good to have.. but it's almost never that the template has the shap for something you get marks for.
  18. Affinity

    linear algrebra question

    I think sirius overlooked the fact that the + here does not mean the usual union. it means (direct) sum, which is, all vectors of the form a+b where a is in A and b is in B, because of this A+B will contain more points/vectors than A union B. by the way, you can also think of A+B as the...
  19. Affinity

    How hard is Actuarial Studies

    we're all embarrassed
  20. Affinity

    are these books the same

    get the cheaper one
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