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  1. X

    Mathematics Marathon HSC 09

    LOL like what? I seriously cant think of 2u questions.. So I use a exam question book :P The harder questions are the graphing questions which I cbb posting
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    Raw mark needed for a Band 4 in standard english?

    We don't even get the marking criteria with all the a/e outcomes. We just get a mark, usually marked by 2 English teachers. And then you just think wth did I do wrong to achieve this shit mark? since most of the teachers provide no feedback/unreadable feedback.. and they say my writing is hard...
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    Mathematics Marathon HSC 09

    OMG genius :p I couldn't think how to get 1/e. Im gonna rep you for that :) anyhow loan repayment question..: Keirren borrows $150,000 on a 7.5% p/a interest, calculated at the end of each month after Keirren repays an amount. a)How much is each monthly repayment if Keirren pays off the loan in...
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    Mathematics Marathon HSC 09

    lol alright, i'm quite sure i did it right unless someone can correct me :uhhuh:
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    Mathematics Marathon HSC 09

    \frac{\partial \frac{lnx}{x}}{\partial x} = \frac{x\times\frac{1}{x}-lnx\times 1 }{x^{2}} when \frac{\partial \frac{lnx}{x}}{\partial x} = 0 \frac{1-lnx}{x^{2}}=0 \therefore x=e Test for maximum in dy/dx test \frac{1}{e}>0 test e=0 test e^{2}<0 \therefore x=e is maximum p.s are you sure your...
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    Raw mark needed for a Band 4 in standard english?

    Wow I was thinking there was no way I could get a band 4 since i got like 50% for trials(yes I know I'm shit at English).
  7. X

    IPT Study Thread

    The logon procedure requires one to enter a username and password to gain access to the network. The level of access is defined by the network admin. The logoff procedure... (I don't know what processes is for this. Someone expand please) Question:Outline a feasibility study
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    are we allowed

    LOL this. Just need to remember my glasses or I'm screwed
  9. X

    are we allowed

    Are there always clocks in the exam room? Or do we need to bring a watch or something?
  10. X

    Q7 of SGS 1999 Trial

    you could say PA=a, PB=a +2r so a Geometric Mean would be \sqrt{a(a+r)} =\sqrt{a^{2}+ar} the Arithmetic mean would be \frac{a+a+2r}{2}=a+r =\sqrt{(a+r)^{2}}=\sqrt{a^{2}+2ar+r^{2}} So therefore it is obvious that \sqrt{a^{2}+2ar+r^{2}}> \sqrt{a^{2}+2ar}
  11. X

    Mathematics Marathon HSC 09

    Oh yeah lol i forgot to say height of tank is 20m
  12. X

    Mathematics Marathon HSC 09

    3-2cos^{2}x -3sinx=0 3-2(1-sin^{2}x)-3sinx=0 2sin^{2}x -3sinx +1=0 sinx=1, \frac{1}{2} \therefore x=90^{\circ},270^{\circ},30^{\circ}, 150^{\circ} eqn: 2sin^{2}x +cosx -2 =0 2(1-cos^{2}x) +cosx-2=0 -2cos^{2}x +cosx =0 cosx=-0.5, 0.5 \therefore x=60^{\circ}, 120^{\circ}, 240^{\circ}, 300^{\circ}
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    Mathematics Marathon HSC 09

    whoops my bad. XD (cosx)^2=1/2 x=45, 315. (assuming you ment 0<=x<=360) Question thats still not done:Water flows from a full tank at the rate given by dh/dt= -1.5 sqrt(t) where h is the depth of the water in meters at any time t minutes. Height of tank is 20m. a)find the equation for h in...
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    Mathematics Marathon HSC 09

    a)n/2*(2 +4(n-1)) b)n/2 *(6 +4(n-1)) i)50/2(2 +4(49)) -50/2(6 +4(50-1)) =-100 ii)101 Question: Water flows from a full tank at the rate given by dh/dt= -1.5 sqrt(t) where h is the depth of the water in meters at any time t minutes. a)find the equation for h in terms of t b)how long does it take...
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    Mathematics Marathon HSC 09

    Can you show me how to do it? cause i got let roots = @, 3@ -b/a=4@=0 c/a=(pq +q)/2 =3@^2 q(p+1)=0, p=-1 and thats it lol
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    Mathematics Marathon HSC 09

    Are you sure that works out? because i got both roots as zero and then couldn't find q.
  17. X

    Mathematics Marathon HSC 09

    i)when t=10, m=50 k=-0.047 ii)dM/dt=k.80e^(kt) when t=4, dM/dt=-3.116 ---> rate of decay =3.1 g/hr iii)half-life when m=40 =14hrs 45min Question: series 2,4,8,16,32.... find the 20th term in the series
  18. X

    Mathematics Marathon HSC 09

    i)-b/a =4 ii)c/a=ab +ac+bc =0 1/a+1/b+1/c =0/4 =0 Question: f(x)=√(1 +x^2) where -1<=x<=4 Using 6 function values, using Simpsons rule, find the approximate area under the curve.
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    Mathematics Marathon HSC 09

    My bad. I got that straight out of a random page of a textbook. Dumb book with misprints =.=
  20. X

    Mathematics Marathon HSC 09

    let roots be @, @ +6 2@ +6=k -------->@=(k-6)/2 -----1 @(@ +6)=1----------2 sub 1 in 2 (k-6)/2[(k-6)/2 +6)=1 k^2=40 k=√40 Question: Show that y=e^x can be written as x=1/2 lny
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