Page 2 of 11 FirstFirst 1234 ... LastLast
Results 26 to 50 of 264
Like Tree58Likes

Thread: HSC 2017 MX2 Integration Marathon

  1. #26
    Member jathu123's Avatar
    Join Date
    Apr 2015
    HSC
    2017
    Gender
    Male
    Location
    Sydney
    Posts
    272
    Rep Power
    2

    Re: HSC 4U Integration Marathon 2017

    0.o

  2. #27
    Cadet
    Join Date
    Oct 2016
    HSC
    2014
    Gender
    Male
    Posts
    91
    Rep Power
    1

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by Kingom View Post
    you can rearrange gif.latex.gifand gif.latex.gif to simplify the inside the integrals to get

    gif.latex.gif
    use substitution gif.latex.gif
    then gif.latex.gif

    gif.latex.gif

    gif.latex.gif
    let gif.latex.gif

    gif.latex.gif constant

    From the you can see the integrals is tan inverse of \sqrt{u^2-1}
    We can back track to find it in terms of theta
    Attached Images Attached Images
    Last edited by Mahan1; 26 Oct 2016 at 11:43 AM.
    Mahan Ghobadi

    Maths Tutor- ESL (80)| 2 Unit maths (96)(2013) | 3 Unit maths (99)| 4 Unit maths(95)| Physics (88)| music1(93)

    Get more answers for your questions, as well as weekly tips and blog posts, from my friends and I at:
    HSC http://bit.ly/HSC-Help
    VCE* http://bit.ly/VCE-Help

  3. #28
    Loquacious One Drsoccerball's Avatar
    Join Date
    May 2014
    HSC
    2015
    Gender
    Undisclosed
    Posts
    3,668
    Rep Power
    5

    Re: HSC 4U Integration Marathon 2017

    Learn Latex pls

  4. #29
    Loquacious One Drsoccerball's Avatar
    Join Date
    May 2014
    HSC
    2015
    Gender
    Undisclosed
    Posts
    3,668
    Rep Power
    5

    Re: HSC 4U Integration Marathon 2017

    kawaiipotato likes this.

  5. #30
    Ancient Orator leehuan's Avatar
    Join Date
    May 2014
    HSC
    2015
    Gender
    Male
    Posts
    5,774
    Rep Power
    6

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by Drsoccerball View Post
    smh...
    Drsoccerball likes this.

  6. #31
    Member jathu123's Avatar
    Join Date
    Apr 2015
    HSC
    2017
    Gender
    Male
    Location
    Sydney
    Posts
    272
    Rep Power
    2

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by Drsoccerball View Post


    Last edited by jathu123; 28 Oct 2016 at 10:40 AM.
    0.o

  7. #32
    Cadet
    Join Date
    Aug 2008
    HSC
    N/A
    Gender
    Male
    Posts
    44
    Rep Power
    7

    Re: HSC 4U Integration Marathon 2017


  8. #33
    -insert title here- Paradoxica's Avatar
    Join Date
    Jun 2014
    HSC
    2016
    Gender
    Male
    Location
    Outside reality
    Posts
    2,371
    Rep Power
    4

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by jathu123 View Post


    Somewhat convoluted.

    jathu123 likes this.
    If I am a conic section, then my e = ∞

    Just so we don't have this discussion in the future, my definition of the natural numbers includes 0.

  9. #34
    Ancient Orator
    Join Date
    Dec 2014
    HSC
    N/A
    Gender
    Male
    Posts
    5,930
    Rep Power
    5

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by leehuan View Post
    smh...
    Why that reaction haha? Is there some story behind this integral?

  10. #35
    Ancient Orator leehuan's Avatar
    Join Date
    May 2014
    HSC
    2015
    Gender
    Male
    Posts
    5,774
    Rep Power
    6

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by InteGrand View Post
    Why that reaction haha? Is there some story behind this integral?
    Seen it before a bit too many times :P

  11. #36
    Ancient Orator
    Join Date
    Dec 2014
    HSC
    N/A
    Gender
    Male
    Posts
    5,930
    Rep Power
    5

    Re: HSC 4U Integration Marathon 2017


  12. #37
    Ancient Orator
    Join Date
    Dec 2014
    HSC
    N/A
    Gender
    Male
    Posts
    5,930
    Rep Power
    5

    Re: HSC 4U Integration Marathon 2017


  13. #38
    Member jathu123's Avatar
    Join Date
    Apr 2015
    HSC
    2017
    Gender
    Male
    Location
    Sydney
    Posts
    272
    Rep Power
    2

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by InteGrand View Post
    0.o

  14. #39
    -insert title here- Paradoxica's Avatar
    Join Date
    Jun 2014
    HSC
    2016
    Gender
    Male
    Location
    Outside reality
    Posts
    2,371
    Rep Power
    4

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by InteGrand View Post
    don't scare off the children
    If I am a conic section, then my e = ∞

    Just so we don't have this discussion in the future, my definition of the natural numbers includes 0.

  15. #40
    Member
    Join Date
    Mar 2015
    HSC
    2017
    Gender
    Male
    Location
    Sydney Somewhere
    Posts
    437
    Rep Power
    2

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by abecina View Post
    http://imgur.com/a/LQn6t

    Checked it on wolfram so it's all good.
    HSC 2017

    Physics, Chemistry, Biology, English Advanced, Japanese Continuers

    HSC 2016

    Mathematics Extension 1, Mathematics Extension 2

  16. #41
    Member
    Join Date
    Mar 2015
    HSC
    2017
    Gender
    Male
    Location
    Sydney Somewhere
    Posts
    437
    Rep Power
    2

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by InteGrand View Post
    Also this is another method: http://imgur.com/h2IBmvL
    HSC 2017

    Physics, Chemistry, Biology, English Advanced, Japanese Continuers

    HSC 2016

    Mathematics Extension 1, Mathematics Extension 2

  17. #42
    -insert title here- Paradoxica's Avatar
    Join Date
    Jun 2014
    HSC
    2016
    Gender
    Male
    Location
    Outside reality
    Posts
    2,371
    Rep Power
    4

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by calamebe View Post
    http://imgur.com/a/LQn6t

    Checked it on wolfram so it's all good.
    that is not in it's simplest form.
    If I am a conic section, then my e = ∞

    Just so we don't have this discussion in the future, my definition of the natural numbers includes 0.

  18. #43
    Member
    Join Date
    Mar 2015
    HSC
    2017
    Gender
    Male
    Location
    Sydney Somewhere
    Posts
    437
    Rep Power
    2

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by InteGrand View Post
    http://imgur.com/d7oqSIR
    HSC 2017

    Physics, Chemistry, Biology, English Advanced, Japanese Continuers

    HSC 2016

    Mathematics Extension 1, Mathematics Extension 2

  19. #44
    Member
    Join Date
    Mar 2015
    HSC
    2017
    Gender
    Male
    Location
    Sydney Somewhere
    Posts
    437
    Rep Power
    2

    Re: HSC 4U Integration Marathon 2017

    Also sorry if my handwriting poses any issues
    HSC 2017

    Physics, Chemistry, Biology, English Advanced, Japanese Continuers

    HSC 2016

    Mathematics Extension 1, Mathematics Extension 2

  20. #45
    Member
    Join Date
    Mar 2015
    HSC
    2017
    Gender
    Male
    Location
    Sydney Somewhere
    Posts
    437
    Rep Power
    2

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by Paradoxica View Post
    that is not in it's simplest form.
    I know, but it's the right answer and I can't be bothered to put it in it's simplest form.

    Edit: stuff it ln(3^(5/4)/2^(23/12))
    Last edited by calamebe; 28 Oct 2016 at 5:37 PM.
    HSC 2017

    Physics, Chemistry, Biology, English Advanced, Japanese Continuers

    HSC 2016

    Mathematics Extension 1, Mathematics Extension 2

  21. #46
    Ancient Orator leehuan's Avatar
    Join Date
    May 2014
    HSC
    2015
    Gender
    Male
    Posts
    5,774
    Rep Power
    6

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by InteGrand View Post
    Wait what... is there something special about the Poisson distribution I should know

  22. #47
    -insert title here- Paradoxica's Avatar
    Join Date
    Jun 2014
    HSC
    2016
    Gender
    Male
    Location
    Outside reality
    Posts
    2,371
    Rep Power
    4

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by leehuan View Post
    Wait what... is there something special about the Poisson distribution I should know
    Leehuan this isn't the extracurricular marathon take your stats elsewhere yo
    Drsoccerball likes this.
    If I am a conic section, then my e = ∞

    Just so we don't have this discussion in the future, my definition of the natural numbers includes 0.

  23. #48
    Ancient Orator leehuan's Avatar
    Join Date
    May 2014
    HSC
    2015
    Gender
    Male
    Posts
    5,774
    Rep Power
    6

    Re: HSC 4U Integration Marathon 2017

    Meh doesn't work anyway, cause if it were Poisson the upper limit of the sum should be inf

  24. #49
    Ancient Orator
    Join Date
    Dec 2014
    HSC
    N/A
    Gender
    Male
    Posts
    5,930
    Rep Power
    5

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by leehuan View Post
    Wait what... is there something special about the Poisson distribution I should know
    The LHS integrates the PDF of a Gamma(n,beta) r.v. (where beta = 1/lambda) from 0 to t and the RHS is the probability a Poisson(lambda*t) r.v. is bigger than or equal to n. The identity thus shows that in a Poisson process, the number of events occurring in time 0 to t when the rate is lambda is Poisson (lambda*t) if we assume the time between events is iid exponential(lambda) (noting that a sum of n iid exponential(lambda) is Gamma(n, (1/lambda)).
    Last edited by InteGrand; 29 Oct 2016 at 8:22 AM.
    leehuan likes this.

  25. #50
    Ancient Orator
    Join Date
    Dec 2014
    HSC
    N/A
    Gender
    Male
    Posts
    5,930
    Rep Power
    5

    Re: HSC 4U Integration Marathon 2017

    Quote Originally Posted by Paradoxica View Post
    don't scare off the children
    Find

    .

    (Courtesy of leehuan here: http://community.boredofstudies.org/...ml#post7183192 )

Page 2 of 11 FirstFirst 1234 ... LastLast

Thread Information

Users Browsing this Thread

There are currently 1 users browsing this thread. (0 members and 1 guests)

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •