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anonymous

  • 5 years ago

Taylor series for sinx centered at (pi)/3?

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  1. anonymous
    • 5 years ago
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    that is a longish calculation, I can help if you tell me where you are stuck

  2. anonymous
    • 5 years ago
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    well, if i recall i got down to the expansion but the coefficients to eachterm were alternating values (i thinnk it went rt(3)/2, 1/2, (-rt(3)/2, -1/2)

  3. anonymous
    • 5 years ago
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    was on a test earlier, i just havent gotten it out of my brain

  4. anonymous
    • 5 years ago
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    but i just couldnt figure a way to put those values into the series at all

  5. anonymous
    • 5 years ago
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    yeah that is right. the formula for the taylor series is T=fn(x)/n! *(x-a)^n where fn(x) is the nth derivative

  6. anonymous
    • 5 years ago
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    and the summation is missing

  7. anonymous
    • 5 years ago
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    ye, that i know, but those values... the only way i could figure to put them into the series was leaving an f^n((pi)/3) in there

  8. anonymous
    • 5 years ago
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    and i dnt think she wasaccepting that, otherwise *spoiler* everyone would see that loophole and pass =P

  9. anonymous
    • 5 years ago
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    :) yeah I dont think that is fine.

  10. anonymous
    • 5 years ago
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    exactly haha

  11. anonymous
    • 5 years ago
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    wait a sec I get a pen and a paper and figure it out

  12. anonymous
    • 5 years ago
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    ok, thanks. its just been bugging me like crazy

  13. anonymous
    • 5 years ago
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    \[\sqrt{3}/2 \sum_{0}^{\infty}((-1)^{2n}/(2n!))*(x-\pi/3)^{2n}\] + \[1/2 \sum_{1}^{\infty}((-1)^{2n}/(2n+1!))*(x-\pi/3)^{2n+1}\]

  14. anonymous
    • 5 years ago
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    I had two beers tonight so I might done some mistakes, but I guess it is correct. Ask if something isnt clear

  15. anonymous
    • 5 years ago
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    @_@ my teacher is a troll lol. Gah she even said she expected nobody to solve it. Now I see why

  16. anonymous
    • 5 years ago
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    and i do have one quick question

  17. anonymous
    • 5 years ago
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    is this at high school?

  18. anonymous
    • 5 years ago
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    if im not mistaken, wouldnt the (-1)^2n leave every term as positive?

  19. anonymous
    • 5 years ago
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    an ye

  20. anonymous
    • 5 years ago
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    high school

  21. anonymous
    • 5 years ago
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    yes it would my bad, it should be just n for both

  22. anonymous
    • 5 years ago
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    kinda wish the problems were harder in general so im used to them

  23. anonymous
    • 5 years ago
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    buuuuuuut they have to bring iit down a bit, i guess, and im lazy -_-

  24. anonymous
    • 5 years ago
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    I did not do this at high school, but I will have an exam about this in 3 weeks

  25. anonymous
    • 5 years ago
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    an ok, thhanks a lot =D big help

  26. anonymous
    • 5 years ago
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    my exam on ap calc ab/bc is next week. got some sample questions, not too bad

  27. anonymous
    • 5 years ago
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    If you are interested in these series check the Fourier series, or ask your teacher about it. I think they are beautiful. :-)

  28. anonymous
    • 5 years ago
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    will do, cuz i love all these dif things

  29. anonymous
    • 5 years ago
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    just to joke around in class, ill put -e^(pi*i) in front of my answers =P

  30. anonymous
    • 5 years ago
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    the taylor series only gives a good approximation about a function at a given point. The Fouries series gives for every point of the function. Also it is used a lot in life. JPEG, MP3

  31. anonymous
    • 5 years ago
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    o, ok... that sounds like it could be awesome

  32. anonymous
    • 5 years ago
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    one of my fav equation is e^ipi+1=0

  33. anonymous
    • 5 years ago
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    has all the important bits of maths in it

  34. anonymous
    • 5 years ago
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    like we were explained how taylors were often used in calculator scripts to calculate until a given tolerance was reached

  35. anonymous
    • 5 years ago
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    are you living in the US?

  36. anonymous
    • 5 years ago
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    an ye. im kind of self-discovering more and more about that neat little equation on my own. still need to find some proof of it or something so i canrelate it into everything else

  37. anonymous
    • 5 years ago
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    an ye

  38. anonymous
    • 5 years ago
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    when I graduate I might go there to teach :-)

  39. anonymous
    • 5 years ago
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    o cool. where r u studying?

  40. anonymous
    • 5 years ago
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    York university (UK)

  41. anonymous
    • 5 years ago
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    o cool

  42. anonymous
    • 5 years ago
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    math major or another?

  43. anonymous
    • 5 years ago
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    also, when u teach, please do ur students a favor. intrigue the ones that carewith stuff theyve never heard of and theyll ask about it over and over an mybe even figure it out on their own

  44. anonymous
    • 5 years ago
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    teacher did that with me and i basically figured out a whole chapter on my own. i was like =DDDDDDD best teacher ever

  45. anonymous
    • 5 years ago
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    and that was just from mentioning one sentence about it =P so either im a huge nerd and love it or i dnt even know

  46. anonymous
    • 5 years ago
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    thx for the advice, I will keep in mind. Yes maths major

  47. anonymous
    • 5 years ago
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    o cool. one other question: what is non-euclidian geometry good for/ if u kno? sounds... i dnt even

  48. anonymous
    • 5 years ago
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    well I know what it is, but I dont know why is it good :) it has interesting properties that is for sure

  49. anonymous
    • 5 years ago
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    like parallel lines? mind=blown when i found out they intersected

  50. anonymous
    • 5 years ago
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    if there is a given line and a point, how many parallel lines can you make from that point?

  51. anonymous
    • 5 years ago
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    :DD nice one

  52. anonymous
    • 5 years ago
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    it can be 0/1/2

  53. anonymous
    • 5 years ago
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    hm... ok. so.... if the definition of parallel is slightly altered... im having random thoughts atm like 4d non-flat planes an stuff. idk if those r even possible, but im tryin to think of themm

  54. anonymous
    • 5 years ago
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    knowing my desired field, im probbly gonna be using some of this

  55. anonymous
    • 5 years ago
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    they are in 3d

  56. anonymous
    • 5 years ago
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    (physics, dream=job in researchin stuff then teachin at a university)

  57. anonymous
    • 5 years ago
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    if the plane is a sphere or a ellipsoid

  58. anonymous
    • 5 years ago
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    my dad is a physics teacher, but I prefer maths

  59. anonymous
    • 5 years ago
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    ok. so spherical planes... ok, im starting to see how some of this might work. tho im probbly wrong =P just tying it to some things ive heard

  60. anonymous
    • 5 years ago
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    but I might take some astrophysics next year

  61. anonymous
    • 5 years ago
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    well, i like physics just cuz of how math-intensive it is, in addition to how some cutting edge research keeps my curiosity going constantly

  62. anonymous
    • 5 years ago
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    them together=braingasm

  63. anonymous
    • 5 years ago
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    dont ask a lot about these planes because I never learnt about them, just read a few things

  64. anonymous
    • 5 years ago
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    nice nice :) I love mechanics

  65. anonymous
    • 5 years ago
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    ah ok. well, i think its enough to keep me thinkin bout it. might look it up myself soon

  66. anonymous
    • 5 years ago
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    some1 gave me a medal and became my fan, but dont know why :D

  67. anonymous
    • 5 years ago
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    o nice haha. i may, but just cuz this is the most interesting convo ive had on here =P

  68. anonymous
    • 5 years ago
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    now I know why, I helped with graphing a line

  69. anonymous
    • 5 years ago
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    matrices are also a really interesting topic for me. There are bits that are boring but others are really funky

  70. anonymous
    • 5 years ago
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    o haha. i feel horrible when i try to help some ppl.... ill say something and then they wont get it cuz ill explain it before knoiwing their math level

  71. anonymous
    • 5 years ago
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    an o. i havent dealt much with matrices. tho i need to. they just havent been stressed in any of my classes for some reason

  72. anonymous
    • 5 years ago
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    well, ive gotta go finish up some homework. been great talkng, take care =D

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