Results 1 to 4 of 4

Math Help - level curves

  1. #1
    Member
    Joined
    Nov 2008
    Posts
    75

    level curves

    Sketch the level curves z = c for z = x^2/y , c=-4,-1,0,1,4
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,340
    Thanks
    21
    Quote Originally Posted by Link88 View Post
    Sketch the level curves z = c for z = x^2/y , c=-4,-1,0,1,4
    The level curves are obtained by setting z =-4, -1 0 1 and 4 so we simply draw the functions

     <br />
y = - \frac{x^2}{4},\;\;<br />
y = - x^2<br />
\;\;<br />
y = x^2<br />
\;\;<br />
y = \frac{x^2}{4}<br />
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor chisigma's Avatar
    Joined
    Mar 2009
    From
    near Piacenza (Italy)
    Posts
    2,162
    Thanks
    5
    Setting c equal to -4,-1,1,4 we obtain...

    y= - \frac{x^{2}}{4}, y= - x^{2}, y= x^{2}, y= \frac{x^{2}}{4}

    ... good!... and setting, as also requested, c=0? ...

    Kind regards

    \chi \sigma
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor chisigma's Avatar
    Joined
    Mar 2009
    From
    near Piacenza (Italy)
    Posts
    2,162
    Thanks
    5
    Thanks are undeserved since my observations were quite obvious... also quite obvious is that the level curve for c=0 is x=0, i.e. the level curve is the y-axis...

    Kind regards

    \chi \sigma
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Level Curves
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 5th 2010, 05:58 PM
  2. Level Curves
    Posted in the Calculus Forum
    Replies: 2
    Last Post: February 5th 2010, 07:14 AM
  3. Level Curves
    Posted in the Calculus Forum
    Replies: 2
    Last Post: March 18th 2009, 08:39 PM
  4. Need help with level curves
    Posted in the Calculus Forum
    Replies: 12
    Last Post: July 20th 2008, 11:20 AM
  5. level curves
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 25th 2008, 12:30 AM

Search Tags


/mathhelpforum @mathhelpforum