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Maths - HL Proofs Poll

  • 07-06-2011 08:17PM
    #1
    Registered Users, Registered Users 2 Posts: 367 ✭✭


    The proofs are usually a small part of the paper, and doable without study. . .but only if you're pretty good at LC HL Maths. . .

    So. . .3 days to go. What dye think's coming up?

    What Proof is most likely to appear on the HL LC Maths Papers 11 votes

    Factor Theorem
    0% 0 votes
    Angle Between 2 Lines
    27% 3 votes
    Perpendicular Distance
    9% 1 vote
    Cosine Rule
    9% 1 vote
    Cos(A+B)
    0% 0 votes
    Addition Rule
    36% 4 votes
    Product Rule
    0% 0 votes
    Quotient Rule
    0% 0 votes
    Differential Rule
    9% 1 vote
    Equation of a Tangent to Circle
    0% 0 votes
    De Moivre's Theorem
    0% 0 votes
    Difference Equation
    9% 1 vote


Comments

  • Closed Accounts Posts: 494 ✭✭PJelly


    Integration, do cone and sphere.
    Quotient rule because it's never been asked.
    I read somewhere that Prove LogAB=LogA+LogB might come up
    And make sure you know the perpendicular distance from a line, it's a full part C. And with the way the marking is going, that means 20/25 or even 30 marks.


  • Registered Users, Registered Users 2 Posts: 367 ✭✭electrictrad


    PJelly wrote: »
    I read somewhere that Prove LogAB=LogA+LogB might come up

    How do you prove that?

    Can you just equate them, then bring logB over to the other side, and use log x - log y = log x/y


  • Closed Accounts Posts: 494 ✭✭PJelly


    It took me a while, but it's like this.
    Let, X^u (or anything) = a => LogxA=U
    let X^v = B => LogxB = V
    let X^n = AB => LogxAB = N

    AB =B.A
    Therefore, from above, X^n= X^u . X^v
    = X^n =X^u+v
    Which implies.. N= U+V as they all have the base X
    And again from above, this implies, LogxAB=LogxA +LogxB

    Same for LogA/B=LogA-LogB, except you say A/B=A divided by B
    which implies X^n= X^u (divided by) X^v Etc and so on


  • Registered Users, Registered Users 2 Posts: 367 ✭✭electrictrad


    I getya. . .thats clever. . .can you then use logs to prove the inverse?


This discussion has been closed.
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