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  1. Affinity

    DIFFUCLTY OF 4U maths...

    I don't think 60 raw = E4.. maybe 7x+
  2. Affinity

    circle question

    let radius = r OB = (r-3) AB = (1/2)AC = 5 OA^2 = OB^2 + AB^2 r^2 = r^2 - 6r + 9 + 25 r = 34 r = 34/6 = 17/3
  3. Affinity

    Binomial question.

    (n-5)! = (n-6)!*(n-5)
  4. Affinity

    Binomial question.

    the coefficient of x^5 is 3^(n-5)*2^5 * (n C 5) that for x^6 is 3^(n-6)*2^6*(n C 6) since they are equal, divide the first by second, and you should get 1 so [3(n C 5)]/[2(n C 6)] = 1 3n!/5!(n-5)! = 2n!/6!(n-6)! simplifying 2(n-5) = 18 n-5 = 9, n=14
  5. Affinity

    relations and functions

    because you get more answers here
  6. Affinity

    DIFFUCLTY OF 4U maths...

    The difficulty to attain a mark increases exponentially, 60 raw is quite decent...
  7. Affinity

    Convergent and Divergent series

    maybe you can prove that it is impossible to link each divergent series to an unique convergent series?
  8. Affinity

    Help with inverse trig

    let u = cos(x) then du = -sin(x) dx so your integral becomes integrate [1/2 -> 1] -3u^2 du = -u^3 (evaluate with limits) = -7/8
  9. Affinity

    Some Implicit Differentiation

    lol at maniac guy's signature
  10. Affinity

    Integration

    Re: Re: Integration Hmm incorrect :P
  11. Affinity

    titration process?

    General principles If a piece of glassware is used to MEASURE volume of something, then it should be washed with the solution that is intented to be measured. If a piece of glassware is used to hold a MEASURED AMOUNT of something, it should only be washed with distilled water NOT with...
  12. Affinity

    Integration

    While you are on it find: Integrate [0->1] [x(1-x)]^4/(x^2 + 1) dx and hence show that pi is not 22/7
  13. Affinity

    relations and functions

    graph y=x y=x^2 (x squared) y=x^3 y=x^4 y=x^5 more if you have time. notice if you rotate the graphs of the odd powered x's about the origin for 180 degrees, you get the same graph. That's basically what odd functions are, they are symmetric about the origin. now look at the...
  14. Affinity

    inverse trig problem

    define tan(x), then I will give you a proof
  15. Affinity

    Weak Acid Calculations

    follow what they give you, (they shouldn't be giving you false numbers) it's actually about 1/250 for acetic at that conc. if I haven't forgot my chemistry (4 months since I read on it) oh and, the extent of dissociation is related to concentration
  16. Affinity

    Systematic names

    IUPAC (prefered) name is styrene.. I don't think they can mark you wrong if you said styrene for systematic name
  17. Affinity

    Dc Motor

    Dicksmith if you don't mind the price Really depends on the quality and scale of your motor. if you school has a TAS (tech and applied studies) workshop with metalwork/wood work room you should try to get permission to use it
  18. Affinity

    polynomials

    first P(x) = (x-a)(x-b)Q(x) + (cx+d) for some cx+d then: P(a) = a^2 P(b)= b^2 by the remainder theorem. so if you ca+d=a^2 cb +d = b^2 subtract the bottom equation from the one above c(a-b) = a^2 - b^2 c= a+b solve for d by substituting in ca + d = a^2 a^2 + ab...
  19. Affinity

    Definitions

    yea.. just a minor point, f:r->r+ is not well defined because f(0) is not in the codomain
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