Results 1 to 6 of 6

Math Help - quick vector calc question

  1. #1
    Member
    Joined
    Nov 2008
    From
    MD
    Posts
    165

    quick vector calc question

    how would i go about graphing
    f(x,y,z)= -1
    or any constant for that matter...?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Calculus26's Avatar
    Joined
    Mar 2009
    From
    Florida
    Posts
    1,271
    you can't.

    for functions of the form w = f(x,y,z) it takes three dimensions for the domain and would require a 4th dimension for the range which humans can't do.

    One way of thinking of this is think of f(x,y,z) as the temperature at any point in 3 space. In your case the temp is -1 everywhere.

    You can't visualuze temperature in your 3 -D world can you human?

    Actually you can if you add color as with infrared imaging
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Nov 2008
    From
    MD
    Posts
    165
    i was thinking it seemed impossible. i'm studying for my first test which is in 20 minutes. i was just wondering thanks for reassuring me
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor Calculus26's Avatar
    Joined
    Mar 2009
    From
    Florida
    Posts
    1,271

    Elaboration level surfaces

    if for example f(x,y,z) = x^2 + y^2 +z^2

    then f(x,y,z) = 1 woulde be the level surface


    x^2 + y^2 +z^2 = 1

    meaning that on a sphere of radius 1 f has the same value at all points.

    This is analagous to the level curve for fns of 2 variables
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Member
    Joined
    Nov 2008
    From
    MD
    Posts
    165
    thanks! one last quick question..the formula for an elipse. is it x^2/a + y^2/b =1
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor Calculus26's Avatar
    Joined
    Mar 2009
    From
    Florida
    Posts
    1,271
    yes --if it is centered at the origin
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. another vector calc question
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 6th 2010, 06:51 PM
  2. calc 3, maxes and mins. quick question
    Posted in the Calculus Forum
    Replies: 5
    Last Post: October 21st 2009, 04:54 PM
  3. Replies: 5
    Last Post: September 29th 2009, 03:24 PM
  4. quick Calc Equation question
    Posted in the Calculus Forum
    Replies: 2
    Last Post: December 29th 2008, 05:16 PM
  5. quick calc question
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 7th 2007, 03:34 AM

Search Tags


/mathhelpforum @mathhelpforum