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  1. E

    Helpppppp screwed up extension maths big time!!!

    lol u stuffed up all maths, just do better in next exams
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    rates question

    yea lol this i had troubles with this question aswell, the only one i didnt get. But i didn't wht the F___ a water trough was so yea.
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    Find all complex numbers z such that Re(z^3)<0 PLEEASSE HELP

    This is how far i have gotten in to Antarctica.. Re(z^3)<0 Re(r^3cis(3@))<0 if z = rcis@ Re(r^3cos3@ + isin@)<0 r^3cos3@<0 then somethin else
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    ok!!INt Parts Question!!!

    show that: opps soz
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    Mathematical INductioN!!!!

    (1) Use Mathematical induction to show that 5^(2n)-4^(2n)-3^(2n) is a multiple of 48 for all integers n>=1. (2) Prove that n>=2 lines, no two of which are parallel and no three of which are concurrent have (n(n-1))/2 points of intersections.
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    "Earth Hour" Whats the point

    Don't Forget – 'Earth Hour' Happens Next Week - News and Analysis by PC Magazine Earth hour is meant to be held next week, but i don't see the point. As was explained to me by some1. Earth hour i think is completely a useless waste of time. We don't actually save any energy, every1 thinks we...
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    Fairly hard Integration Question!!!

    i see where i went wrong i just make some really stupid mistakes so ended up goin really bad for me. first attempt i let u = x^-n that went horrible i ended up with 2 pages for workin out and no answer
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    Fairly hard Integration Question!!!

    ok kool thanks guys makes sense
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    Fairly hard Integration Question!!!

    umm really comfused on how u went from the original to the 2nd step plz explain
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    Fairly hard Integration Question!!!

    can some1 post the full solution plz. cause i think it doesnt really solve so easily.
  11. E

    Fairly hard Integration Question!!!

    Ok will when i was trying this i got nearly 2 pages of working out and was nearly right i think i made a couple of mistakes and didnt want to recheck.
  12. E

    complex numbers

    ohh i get it thanks, there was that trick to it at the end, from the question z^5 = -1 thanks
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    COmplex Number

    ohh i understand thanks for the help simple lol
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    Complex number question

    Difficult: Suppose θ, Φ doesnt = pie/2(2k+1) where k is an integer, use the fact that z = (1+z)/(1+z^-1) to: (a) find the real and imaginery parts of (1+cos2θ+isin2θ)/(1+cos2θ-isin2θ). (b) show that if n is a positive integer then [(1+sinΦ+isinΦ)/(1+sinΦ-icosΦ)]^n = cosn(pie/2-Φ)+isin...
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    COmplex Number

    opps soz
  16. E

    complex numbers

    Find all the roots of z^5+1=0? i cant seem to get it to work. (b) if w is the root with the least positive argument show that the roots are -1,w,-w^2,w^3 and -w^4.
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    COmplex Numbers

    Given that z = x + iy, where x,y are real, find an expression for arg(z) if: (a) x>0, y=0 (b) x<0,y=0 (c)x=0,y>0 (d) x>0,y>0 (f)x<0,y<0
  18. E

    COmplex Number

    Without using any series expansions, prove (√3+i)^n + (√3 - i)^n is real.
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