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  1. A

    General Thoughts: Business Studies

    Worse. Now we have English.
  2. A

    Section III - Business Report

    Re: Business Studies Section III: Business Report I was chilling through this, thought question 28 was going to be just as easy. :o
  3. A

    General Thoughts: Business Studies

    That's such a bad idea. You gave away an easy 10 marks. Always tackle the easiest marks first. I guessed a few short answers. Went horribly on last question.
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    Section IV - Extended Response

    Re: Business Studies Section IV: Extended Response This. fml.
  5. A

    Write down answers.

    Psht, I'm not going to waste time writing them down :p I'll remember them though ;) We can take the paper out, can we not?
  6. A

    graph

    The answer was right. Remember, no value for y exists when x is pi/2. Tan(90) is still undefined, so tan(tan^-1(pi/2)) is undefined. The graph would look like:
  7. A

    Mathematics Marathon HSC 09

    Can you type the first one up on this? Online LaTeX Equation Editor Second: 2sin(^2)x + cos x -2 = 0 2(1 - cos(^2)x) + cosx - 2 = 0 2 - 2cos(^2)x + cosx - 2 = 0 2 cos(^2)x - cosx = 0 cosx(2cosx - 1) = 0 cosx = 0 or cosx = 1/2 Solve for x
  8. A

    Mathematics Marathon HSC 09

    More information needed? :confused: h = -t sqrt(t) + c Don't you need to be supplied the initial height if this is to work?
  9. A

    Mathematics Marathon HSC 09

    3-2[cos(^2)x]-2=0 1 - 2[cos(^2)x] = 0 2[cos(^2)x] = 1 cos(^2)x = 1/2 cosx = +- sqr.root (1/2) Solve from there.
  10. A

    Mathematics Marathon HSC 09

    You wrote the question wrong. Proof: Let b = 3a (i.e. 2nd root 3 times the first). Your equation: 2(x^2) + pq + q a + 3a = 0 (no x^1) 4a = 0 Therefore a=0, 3a = 0, two roots are 0, not true. Invalid question =p ---- edit: p & q are constants or not? If not, then p(q + 1) = 0 p = 0 or q = -1...
  11. A

    Mathematics Marathon HSC 09

    x+y = 25 y = 25-x f(x) = xy = x(25-x) = 25x - x^2 f'(x) = 25 - 2x when f'(x) = 0, x=12.5 f''(12.5) = -2, therefore max. y = 25-12.5 = 12.5 hence x = 12.5, y=12.5 i. a + b + c = 4 ii. 1/a + 1/b + 1/c = (ab + ac + bc) / abc = 0 Question:
  12. A

    papers?

    Have you checked the resources page?
  13. A

    Probability :(

    Are you sure the answer is 77 not 17?
  14. A

    Arithmetic and Geometric Mean ><

    Well the mean would just be the sum of the series divided by the number of terms. So for an AP, if we let a=first time, l=last term: Sn = 1/2n(a + l) Sn/n = 1/2(a+l) = 1/2(5+51) = 28 (assuming by 5&51, you mean 5 is first term, 51 is last term) Same logic applies to a GP. Sn = a(r^n -...
  15. A

    Strange Differentiations

    y%20=%20ln(sinx^x)%20=%20x%20ln(sinx) And then it's normal chain rule. f'(x) = ln(sinx)(1) + cotx(x) = ln(sinx) + xcotx
  16. A

    Mathematics Marathon HSC 09

    It's an X2 question. Don't worry about it.
  17. A

    Mathematics Extension 1 Marathon HSC 09

    @untouchablecuz: dont have pen+paper, doing phys review. tried doing your q, and failed first time on ms word. takes too long, ill try later with paper. answer me this though. i get it down to y-y1=m(x-x1), when x=0, y=0, hence y1 = mx1. Am I meant to solve for m? --- ^^^ I'm not that great...
  18. A

    Mathematics Marathon HSC 09

    You missed a minus in your answer. Been a while since I did probability. I'm assuming by different she can't pick the same square twice? i. 32P3/64P3 = 5/42 ii. 2 x 5/42 = 5/21 iii. 1- 5/21 = 16/21 Let me know if I'm wrong. --- Using the substitution u = 2x + 1 or otherwise, integrate...
  19. A

    Mathematics Marathon HSC 09

    e^2x+3e^x-10=0 Let u = e^x u^2 + 3u - 10 = 0 (u-2)(u+5) = 0 u = 2 or -5 e^x = 2 or e^x = -5 x = ln(2) or x = ln(-5) [not solution] Therefore x = ln2 Differentiate y = cos(ln(x) + 1)
  20. A

    marks?

    In my trials I got 65/84, so I guess that's where I'm at. I heard as a rough guideline 60 is a top band? Obviously changes year to year.
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