Results 1 to 3 of 3
Like Tree3Thanks
  • 3 Post By chiro

Math Help - parameterization of a paraboloid.

  1. #1
    Junior Member
    Joined
    Jan 2013
    From
    australia
    Posts
    39

    Exclamation parameterization of a paraboloid.

    Hi all,

    Could somebody please help me parameterize a paraboloid in cylindrical coordinates.

    Question is as follows:

    A paraboloid has height 2 and max radius 2.

    Based on cylindrical coordinates, enter the parameterization
    ,
    such that and gives the paraboloid surface above.

    How do i do this?

    Any help greatly appreciated thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    4,185
    Thanks
    771

    Re: parameterization of a paraboloid.

    Hey mcleja.

    The first thing you should do is write down the equations to take you Euclidean to Cylindrical. From there you can then express things in terms of r and t (in cylindrical) and the cylindrical co-ordinates will be a function of r and t.

    If you are confused with the r's and t's, just drop them and replace x(r,t) with x, y(t,r) with y and z(r,t) with z and after you converted to the co-ordinate system add the r and t back in.
    Thanks from topsquark, mcleja and HallsofIvy
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jan 2013
    From
    australia
    Posts
    39

    Re: parameterization of a paraboloid.

    Hi chiro,

    I tried the question again, and i was able to get the right answer.

    Thanks.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. how do you draw paraboloid
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 27th 2009, 08:02 AM
  2. volume of a paraboloid
    Posted in the Calculus Forum
    Replies: 4
    Last Post: October 19th 2008, 03:09 PM
  3. volume of paraboloid
    Posted in the Calculus Forum
    Replies: 2
    Last Post: July 7th 2008, 12:42 AM
  4. Paraboloid Mirror
    Posted in the Pre-Calculus Forum
    Replies: 7
    Last Post: October 31st 2007, 12:33 AM
  5. elliptical paraboloid
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: October 15th 2007, 01:44 PM

Search Tags


/mathhelpforum @mathhelpforum