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  1. J

    Mathematics Advanced Predictions/Thoughts

    Calculate how many would be expected to weigh less than 11.93 kg by using the above reasoning, the answer would be 363. If 36 were more than 11.93 kg, where/what was the missing koala?
  2. J

    Maths Ext 2 Predictions/Thoughts

    pi/10 < pi/6, cos(pi/10) > sqrt(3)/2, easily shown that sqrt((5 - sqrt5)/8) < sqrt(3)/2 and sqrt((5 + sqrt5)/8) > sqrt(3)/2
  3. J

    Maths Ext 2 Predictions/Thoughts

    Show that 117^(0.4)+pi^(5/3)-e^2.5 is positive.
  4. J

    Math Ext 1 Predictions/Thoughts

    Not possible to draw another smooth curve going into the third quad because it does not follow the slopes in the last two fields in the second quad near the x-axis. Must look at it closely.
  5. J

    Maths Ext 2 Predictions/Thoughts

    itute stated cos@=cospi/10=0.951approx so cannot be sqrt((5-sqrt5)/8)
  6. J

    HSC Extension 2 Mathematics Predictions / Thoughts

    check the revised version
  7. J

    Hardest geometry question in history answered by student trivially............ How?

    Suppose that PQR is a 50-60-70 (respectively) triangle with an interior point X. Let angle PXR = s and angle QXR = t. Find (in terms of s and t) the three angles of any triangle with side lengths equal to PX, QX and RX.
  8. J

    Nice proof

    False statement (the sum on the right has x terms), because x is not necessarily a natural number. If x are natural numbers, x^2 is not differentiable.
  9. J

    Hard Binomial Theorem Question - HELP

    a^n=3b, na^(n-1)=6b, 0.5n(n-1)a^(n-2)=5b a=3, b=243, n=6
  10. J

    Polynomials

    No
  11. J

    Polynomials

    I tried k=sqrt(3.5), plotted x and y intercepts and alpha, they are not collinear.
  12. J

    Polynomials

    There is only one real x such that P(x)=0. Not three real xs. Meaning of root.
  13. J

    Polynomials

    Exactly one real root and no complex roots when k=+/-1. For other real values of k, there are 3 roots according to the Fundamental Theorem of Algebra, one must be real according to the Conjugate Roots Theorem.
  14. J

    Polynomials

    If k=1, z^3-3z^2+3z-1=(z-1)^3, if k=-1, z^3+3z^2+3z+1=(z+1)^3, .: exactly one real root each. I think you need to review your question.
  15. J

    Permutations

    3!3!2!
  16. J

    MX2 Integration Marathon

    Re: HSC 2018 MX2 Integration Marathon Try replacing both e^x with e^(x^2).
  17. J

    HSC Physics Marathon 2013-2015 Archive

    re: HSC Physics Marathon Archive The reaction force as in Newton's third law.
  18. J

    HSC 2015 MX1 Marathon (archive)

    Re: HSC 2015 3U Marathon h=\frac{-\sqrt{2}+\sqrt{10}}{4}d
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