1. Not finding help here? Sign up for a free 30min 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!

Sketch the surface

  1. Jan 15, 2010 #1
    1. The problem statement, all variables and given/known data
    Sketch the surface x+y2+z2+1=0


    2. Relevant equations



    3. The attempt at a solution
    I'm not to sure how to proceed with this. My initial idea was to re-arrange for x such that
    x=-1-y2+z2=-1-r2

    thus the equation for the surface becomes y2+z2=r2

    I'm not sure what to do next though.
     
  2. jcsd
  3. Jan 15, 2010 #2

    benorin

    User Avatar
    Homework Helper

    [itex]x=y^2+z^2[/itex] is a bowl opening which direction?
    [itex]x=1+y^2+z^2[/itex] is the same bowl shifted one unit in which direction?
    [itex]x=-(1+y^2+z^2)=-1-y^2-z^2[/itex] is the second bowl reflected about which axis?
     
  4. Jan 15, 2010 #3
    okay x=y2+z2 is a bowl opening in the x direction
    x=1+y2+z2 is the same bowl shifted by 1 unit to the right along the x-axis

    x=-1-y2-z2 is the same bowl reflected along the negative x-axis.

    So the image should be a bowl that runs along the positive and negative x-axis.
     
  5. Jan 15, 2010 #4

    benorin

    User Avatar
    Homework Helper

    no picture? :(
     
  6. Jan 15, 2010 #5
    heres the picture I drew, I wasn't quite sure whether to draw the two bowls as connected or seperated object

    http://img62.imageshack.us/img62/465/cci1501201000000.jpg [Broken]
     
    Last edited by a moderator: May 4, 2017
  7. Jan 15, 2010 #6

    benorin

    User Avatar
    Homework Helper

    [itex]x=-(1+y^2+z^2)\le -1[/itex] right?
     
  8. Jan 15, 2010 #7
    ah, so then the bowl only runs along the negative x axis like this
    http://img25.imageshack.us/img25/465/cci1501201000000.jpg [Broken]
     
    Last edited by a moderator: May 4, 2017
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Sketch the surface
  1. Sketching surfaces (Replies: 3)

  2. Sketching a Hyperbola (Replies: 7)

Loading...