Results 1 to 2 of 2

Math Help - Find the point(s) on the surface z^2 = xy + 1 which are closest to the point (7, 5, 0

  1. #1
    Junior Member
    Joined
    Apr 2010
    Posts
    57

    Find the point(s) on the surface z^2 = xy + 1 which are closest to the point (7, 5, 0

    Find the point(s) on the surface which are closest to the point (7, 5, 0).

    List points as a comma-separated list, (e.g., (1,1,-1), (2, 0, -1), (2,0, 3)).
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5
    Quote Originally Posted by ewkimchi View Post
    Find the point(s) on the surface which are closest to the point (7, 5, 0).

    List points as a comma-separated list, (e.g., (1,1,-1), (2, 0, -1), (2,0, 3)).
    Minimise D^2 = (x - 7)^2 + (y - 5)^2 + z^2 subject to the constraint z^2 = xy + 1.

    Please show your work and say where you get stuck if you need more help.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: April 6th 2011, 07:44 AM
  2. Closest Point on a 3D Quadratic Surface
    Posted in the Geometry Forum
    Replies: 3
    Last Post: February 15th 2010, 09:06 AM
  3. Replies: 2
    Last Post: November 5th 2009, 01:05 PM
  4. Find the point on the line, closest to a point
    Posted in the Calculus Forum
    Replies: 3
    Last Post: July 14th 2009, 06:41 PM
  5. Replies: 1
    Last Post: April 27th 2009, 03:30 PM

Search Tags


/mathhelpforum @mathhelpforum