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  1. A

    Induction Gayness

    True for n = 1 Assume true for n = k 31 + 32 + 33 + ... + 3k < 3k+1 For n = k+1 31 + 32 + 33 + ... + 3k + 3k + 1 < 3k+1 + 3k+1 = 2.3k+1 < 3.3k+1 = 3k+1+1 = 3k+2 Hence 31 + 32 + 33 + ... + 3k + 3k+1 < 3k+2 and so forth...
  2. A

    calculus in physical world qu

    y = Aekt ekt = y/A kt = ln(y/A) k = ln(y/A)/t you know what y (368), A and t (2) are, so sub them in to get k.
  3. A

    calculus in physical world qu

    Are you sure that N = 368 isnt y = 368?
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    Another one

    Well, that function simplifies to cosx - cosecx + sinx, which still isnt a constant.
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    domain and range ?

    In the HSC, you will encounter three main functions where the natural domain is not all real x values, these are: - logarithmic: if y = lna, where a is some function involving x, a has to always be > 0. Example: If y = log(x2 - x), then the domain is x2 - x > 0, which, when solved, is x...
  7. A

    inverse trig

    tan(pi/2 - @) = cot @ = cot(tan-1x) = 1/tan(tan-1x) = 1/x Is that what you mean? So if tan(pi/2 - @) = 1/x inverse tan both sides, so tan-1tan(pi/2 - @) = tan-1(1/x) Hence tan-1(1/x) = pi/2 - @ = pi/2 - tan-1x
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    Answers to these multiple choice please?

    They all seem right.
  9. A

    calculus in physical world qu

    Its exactly the same method :p The only difference is when you got up to: dx/dy = 1/(2y) You integrated straight away, when deep down you (not you personally but I mean everyone in general) are skipping the step dx = 1/(2y)dy, which is something that almost everyone naturally does as...
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    Another one

    When i graph it i dont get that its a constant?
  11. A

    Uniform velocity

    algebraically: dv/dt = 0, where v = velocity In words, the velocity doesnt change. If i travel at 40 m/s, i always travel at 40 m/s, it never changes.
  13. A

    Uniform velocity

    Velocity thats not changing.
  14. A

    calculus in physical world qu

    Split the variable and differential. Divide by y, multiply by dx. It's not really taught in 2 unit, but i think 3 unit students learn it.
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    Another problem

    No, mods get sent an email whenever a new thread is made in their forum, so i get it sent to my isp email. I just hooked up my email account to my msn so it alerts me when a new email is sent.
  16. A

    Interfaith dialogue and Ecumenism definitions

    Its similar to ecumenism, except it involves cooperation between different faiths and religions, not between certain groups within one single religion.
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    Another problem

    Haha either that, or the fact that my msn alerts me whenever someone posts a question on here ;)
  19. A

    Another problem

    That factorises to: (sinx - cosx)(sinx - 2cosx) = 0 which you can now solve as: sinx - cosx = 0 or sinx - 2cosx = 0
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    pretty bad at AP and GP

    Is it an arithmetic or geometric series?
  21. A

    calculus in physical world qu

    dy/dx = 2y dy/y = 2dx integrate both sides: ln y = 2x + c and go from there
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    Another question

    x, y and x + y are in arithmetic sequence implies: y - x = x + y - y ie. y - x = x x = 0.5y x, y, 20 in geometric series implies: y/x = 20/y y2 = 20x but we know x = 0.5y, so: y2 = 10y y2 - 10y = 0 y(y - 10) = 0 Hence y = 0 or y = 10
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    2005 CSSA SOR Trial

    The admins of this site have expressed that it is not allowed to post cssa trial examinations on here.
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