Recent content by damo676767

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    How was the exam?

    arrg i had a writter for that thest and he was so slow i only got the first 80 marks out, i no i could of got the last 4 if he was faster
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    Quick Polynomials Question

    well i spend hours finding paturns, appliny formular to them and i got out a really long equasion, and i simplified it and simplified it and proved that x3[/ = x3
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    Quick Polynomials Question

    i spent abput 2-3 hours on this question and a massive 10+ page proof that i am not typing up proves that x3 = x3 if any one can prove that 3n2 + 3n + 1 cannont be a perfect cube that can you tell me. it would help with this proof
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    random problem

    i dont thin that this is true 12 + 22 + 32 +42 + 52 + 62 + 72 = 140 7*8*9/6 = 84
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    random problem

    could you please explain what you did
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    random problem

    thanks for tring but that doesn't work it is not a geometric or a aritmatic progrretion unfortunalty
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    random problem

    what would this simplify too the sum of 3(t-1)(t-2) fron t = 1 to t = n-1 n is just a constant, any help greatly appreaciated
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    Quick Polynomials Question

    when usinmg indution k =2 is easy cause you can use and pythogorain triad to prove there is at least 1 sol eg x=3,y=4 z=5 to prove for k = n+1 il try lhs = xn+1 + yn+1 = x(xn + yn) + yn+1 -xyn =xzn +y(yn + xn) -xyn - yxn = xzn + yzn - xy(yn-1 + xn-1) =...
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    perms and combs

    no im not thats why im timsing it by (1 - 7/28) that gets rid of all the solution where AA and A are together i assumed all the A's were identical, if they werent then the solution should be timsed by 6, but i think they are
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    Dilemma.

    read the paper throulg in reading time and deside what is the eaisest for you then if this means doing question 1-3 them going to 7 and working bacwards do it my advise is do question 1-3 first, no matter what order you do the last 4 in
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    perms and combs

    threat two of the a's as 1 letter so there are 8 letters and 2 thant can be together = 8! * (1 - 7/28) = 30,240 8! is the amount of ways they can be aranged 7 is the amount of pairs that are together in any 1 combo 28 is the amount of pairs of letters
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    3u Mathematics Marathon V 1.0

    Question 29 i am x meteres away from a diving board, the angle (as i see it) between then 1 m and the 4m board is @, they are vertically alinged show that @ = tan-1(4/x_ - tan-1(1/x) show @ is a min when x=2 deduce that the min @ = tan-1 (3/4)
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    3u Mathematics Marathon V 1.0

    this would me much eaiser proved without induction, but any way Q 27 a projectile is launced of a 50m cliff and hits the ground 200 from the foot of the cliff. it was fired with a velocity 40m/s and angle @ find the 2 posible values of @
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    3u Mathematics Marathon V 1.0

    q 23 proove by indution 1 + 2 + 4 + ... +2n - 1 = 2n-1
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    trig equations

    you left of values by not concidering cos2x=- √3/2 eg 5π/12
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