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  1. M

    Best Trials?

    CSSA id say
  2. M

    prove irrationality of logs

    would proving ln2 irrational be the same?
  3. M

    prove irrationality of logs

    thanks for the suggestion but your question shows an odd and even value 10 and 5, the question i uploaded shows 5 and 13 where they are both odd.
  4. M

    prove irrationality of logs

    hey all, need a bit of help with this question thanks in advance.
  5. M

    induction q

    should wait for @Life'sHard solution ;)
  6. M

    induction q

    mb just banter with my mate @Life'sHard
  7. M

    induction q

    do this since ur so smart
  8. M

    induction q

    try it
  9. M

    induction q

    hey all, got a q, doesn't seem too hard but i cant get LHS=RHS in last step RTP: 1^2 + 2^2 + ... + (n-1)^2 + n^2 + (n-1)^2 + ... + 2^2 + 1^2 =\frac{n(2n^2+1)}{3}
  10. M

    Binomial distribution Q

    success = 1/4 only if we're solving for P(X>=1) but ive rearranged it to P(X=0), so success is 3/4 ?
  11. M

    Binomial distribution Q

    Hi all, Can someone help spot my error? Answer is n=17 apparently. Q: A card is selected from a pack, its suit is noted, and it is returned. How many times must this be done so that the probability of at least one heart is more than 99%? P(X>=1) = 1-P(X=0) > 0.99 P(X=0) < 0.01 solve for n...
  12. M

    complex roots multi

    cranbrook 2020 4u trials
  13. M

    complex roots multi

    so if we were asked to find the solutions to \sqrt{-i} we wouldn't put the plus minus?
  14. M

    complex roots multi

    if you find the solution to the complex root, you get a plus minus (±) result, so you can take out or add a minus to (1-i) to get (-1+i) and still get the same result? hence C and D should work right
  15. M

    complex roots multi

    Hi All, Answer says C, but D also works right? \sqrt{i^3}=\sqrt{-1}=\pm{\frac{1}{\sqrt{2}}(1-i)=\pm{\frac{1}{\sqrt{2}}(-1+i) \quad \theta=\frac{3\pi}{4}, \frac{-\pi}{4}
  16. M

    square roots of complex numbers

    this question was in my 4u trial today, i used terry lee's inspection method using 1 line of working \sqrt{15-8i}=(a+ib)=\sqrt{a^2-b^2+2abi}=\sqrt{(4)^2-(-1)^2+2(4)(-1)i} \quad (from\;inspection) \\ \\ \therefore \pm(4-i) will this get 3/3 ?
  17. M

    square roots of complex numbers

    its actually much quicker n easier, some indian dude on yt explained it non verbally pretty well
  18. M

    square roots of complex numbers

    inspection method will be much harder for fractional or square root values of a and b
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