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  1. X

    Mathematics Marathon HSC 09

    You forgot no wins :P
  2. X

    Mathematics Marathon HSC 09

    answer my question?
  3. X

    Mathematics Marathon HSC 09

    a(x+1) +b(x-2)=4x + 1 a +b=4 --->a=4-b a-2b=1 4 -3b=1 ---> b=1, a=3 hence [3/(x-2) + 1/(x+1)] Question: The probability of a win is 27%. What is the probability that Bobbie will win 3 or more games out of 5.
  4. X

    Mathematics Extension 1 Marathon HSC 09

    x-5=\sqrt{3}sin3t - cos3t \sqrt{3}sin3t - cos3t=Rsin(3t -\alpha )=Rsin3tcos\alpha -Rcos3tsin\alpha Rcos\alpha =\sqrt{3} Rsin\alpha =1 tan\alpha =1/\sqrt{3} \therefore \alpha =\pi /6 R=2 \therefore \sqrt{3}sin3t - cos3t = 2sin(3t-\frac{\pi }{6}) (ii) amplitude=2, center of motion=5 iii)...
  5. X

    Mathematics Marathon HSC 09

    let roots be @, 3@ -b/a = -3/(n+2) =@ +3@ =4@ @= -3/[4(n+2)] -------1 c/a= -5/(n+2) =3@^2 --------2 sub 1 into 2 n= -2.3375 lol nice answer Question: Jodi takes out a $50,000 loan. The interest is 6% P/A (calculated at the end of each quarter before she pays). She pays this back in quarterly...
  6. X

    Mathematics Marathon HSC 09

    i)∫tan(x)dx =∫sinx/cosx dx let u=cosx du/dx=-sinx ---> -∫du/u =-ln(u) =-ln(cosx) +C ii)a(t)=t3+sec2t v(t)=t^4/4 + tan(t) +C whent=0, v=4, C=4 v(t)=(t^4)/4 + tan(t) +4 x(t)=(t^5)/20 -ln(cos(t)) +4t +C when x=6, t=0, C=6 hence x=(t^5)/20 -ln(cos(t)) +4t +6
  7. X

    IPT Study Thread

    Prototyping - a working model of the system is first created and tested, participants then are able to comment on what else is needed/changes that need to be made to the system. hence makes the system better as its based on the participants needs, also participants are less wary of the new...
  8. X

    I don't know Belonging...

    Oh okay thats cool :) We don't even use booklets at our school, just use writing pads lol
  9. X

    IPT Study Thread

    Client-server architecture is the software relationship between the user and the server. The user sends a request(transmitting) to the server(protocol is first agreed upon) and the server responds(receiving). [feel free to expand on this since I've never studied this] Question: Describe four...
  10. X

    I don't know Belonging...

    Could someone tell me how many pages are actually in a booklet?
  11. X

    colours of different precipitates

    this is what I have; add sulfate to barium = white precipitate flouride to calcium= white hydroxide to copper =blue chloride to lead = white hydroxide to iron2=green/white precipate that quickly oxidises to form brown precipitate. hydroxide to iron3 = brown test for anions; carbonate add...
  12. X

    A few applications of calculus questions..

    Q18, dT/dt=0.03T [flip] dt/dT=1/(0.03T) [integrate] t=(1/0.03)ln(0.03T) + C initial temp =23; when t=0, T=23 ---> C=-(1/0.03)ln(0.03*23) =-(1/0.03)ln(0.69) t=(1/0.03)[ln(0.03T) - ln(0.69)] t=(1/0.03)ln(0.03T/0.69) 0.03t=ln(0.03T/0.69) (0.69/0.03)e^(0.03t) = T when t=10, T=31 degrees when...
  13. X

    A few applications of calculus questions..

    For question 20, the answer i got is 55033.66; i think its close enough, they probably rounded off early? anyways a=10e^2t v=5e^2t + C when t=0, v=-2 ---> C= -7 v=5e^2t -7 x=(5/2)e^2t -7t +C when t=0, x =4 ---> C=2.5 x=95/2)e^2t -7t +2.5 when t=5sec, x=55033.66m
  14. X

    How fast are YOU going now?

    Shit much :mad1:
  15. X

    Civil Engineering..

    Thanks for this. Was exactly what I was trying to find the other day :)
  16. X

    Opposite of absolute value function

    lol I didn't think of this. I was thinking this question was abit hard for general :haha:
  17. X

    Opposite of absolute value function

    By opposite do you mean inverse? If inverse, then you just exchange the x's and y's, then rearrange to make y the subject. i.e. f(x) = -3 l x - 6 l + 2 x= -3 ly - 6 l +2 x = -3(y-6) +2 x=-3y +20 y=(20-x)/3 ---> f(x) = (20-x)/3 The other answer f(x) = -3 l x - 6 l + 2 x= -3 ly - 6 l +2 x =...
  18. X

    Civil Engineering..

    oh ok. Sucks if you cant for uts.. dunno whether to put down civil or civil(structures). When applying for the RTA full degree scholarship, does this only apply to the civil major or does it apply to structures as well?
  19. X

    Civil Engineering..

    Hello, For civil, can one pick the civil major and then specialize in structures after they have started their course? Or do you have to pick civil(structures) in the first place?
  20. X

    Engineering

    I would also like to know this. Can someone please rank Usyd/UTS/UNSW so i know what i should order for preferences
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