Results 1 to 2 of 2

Thread: parameterization

  1. #1
    Newbie
    Joined
    Oct 2009
    Posts
    18

    Exclamation parameterization

    a parameterization for a surface called a helicoid is given: f(s,t)= (scost,ssint,t)

    compute the surface area of the helicoid corresponding to (s,t): [0,1]x[0,2pi]

    sorry i'm completely lost on this problem..any ideas how to set it up?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,470
    Thanks
    83
    Quote Originally Posted by calc626 View Post
    a parameterization for a surface called a helicoid is given: f(s,t)= (scost,ssint,t)

    compute the surface area of the helicoid corresponding to (s,t): [0,1]x[0,2pi]

    sorry i'm completely lost on this problem..any ideas how to set it up?
    Usually we have the surface given parametrically as

    $\displaystyle
    {\bf r} = {\bf r}(u,v)
    $

    and the surface area is given by

    $\displaystyle \iint_R || {\bf r_u \times r_v } || dA\,\, (1)$

    Here, we have

    $\displaystyle
    {\bf f} = < s \cos t,s \sin t,t>
    $

    so identify $\displaystyle {\bf r = f},\;\;u = s$ and $\displaystyle v = t$ and follow (1)
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Parameterization
    Posted in the Calculus Forum
    Replies: 9
    Last Post: Dec 8th 2011, 11:38 AM
  2. Parameterization
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Oct 3rd 2011, 04:47 PM
  3. parameterization
    Posted in the Pre-Calculus Forum
    Replies: 7
    Last Post: May 24th 2010, 04:27 AM
  4. Parameterization
    Posted in the Calculus Forum
    Replies: 2
    Last Post: Feb 22nd 2010, 09:02 AM
  5. Parameterization
    Posted in the Algebra Forum
    Replies: 1
    Last Post: May 7th 2008, 06:35 PM

Search Tags


/mathhelpforum @mathhelpforum