1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Multivar Optimization question

  1. Oct 8, 2008 #1
    I'm working on a problem where I am to find the coordinates of the point (x,y,z) to the plane z=3x+2y+1, which is closest to the origin.

    I know that this is an optimization problem, and I believe I have to minimize (x,y,3x+2y+1).

    I started by finding partial derivative, fx, of the magnitude of the function.


    Setting that = 0

    [tex]0 =\frac{10x+12y+4}{2\sqrt{x^2+y^2+2x+3y+1}}[/tex]

    now what?
    Last edited: Oct 8, 2008
  2. jcsd
  3. Oct 8, 2008 #2
    anyone know how to do this?
  4. Oct 9, 2008 #3
    I've since solved this, although it took me a few days.
    For future reference, was this the correct forum for this question? It got zero replies...
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Similar Threads for Multivar Optimization question Date
Issue With Optimization Problem Saturday at 4:28 AM
Multivar; Path length, and average y-value over it Feb 10, 2016
Multivar calculus final (1) Jan 17, 2016
3d Shapes (Multivar. Calc) Sep 10, 2011
Squeeze Theorem - Multivarible question Aug 7, 2011