Results 1 to 3 of 3

Math Help - How do you sketch a 3d graph in 2d (Triple integration)

  1. #1
    Senior Member
    Joined
    Oct 2008
    Posts
    393

    How do you sketch a 3d graph in 2d (Triple integration)

    z = y^2

    x = -2, x = 3
    y = -1, y = 3

    Sorry for being a nuisance, but i don't understand how we can find the limits for each integration, as i cant sketch a 3d graph?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Oct 2008
    Posts
    393
    Quote Originally Posted by adam_leeds View Post
    z = y^2

    x = -2, x = 3
    y = -1, y = 3

    Sorry for being a nuisance, but i don't understand how we can find the limits for each integration, as i cant sketch a 3d graph?
    Do i need to but the numbers into y?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,579
    Thanks
    1418
    z= y^2, in three dimensions, is a "parabolic cylinder". Imagine a parabolic "trough" running along the x-axis.

    In fact I would recommend graphing the parabola z= y^2 on yz-axes. With positive y to the right and positive z upward, the positive x-axis is coming out of the paper toward you. Draw the vertical lines y= -1 and y= 3 (they are actually planes coming out of the paper toward you and away from you). x= -2 is the plane parallel to the paper and behind it, x= 3 is parallel to the paper and in front of it.

    However, what you have given is NOT a closed region. You have x= -2 and x= 3 as front and back boundaries and y= -1 and y= 3 as left and right boundaries but you need some other condition on z to have a top or bottom boundary.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. how do you sketch graph of f(x) = ax+b?
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: June 14th 2011, 05:16 PM
  2. please help sketch the graph
    Posted in the Calculus Forum
    Replies: 1
    Last Post: March 23rd 2010, 07:22 AM
  3. Sketch the graph of P and Q
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: September 16th 2008, 06:55 PM
  4. Sketch the graph
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: January 29th 2007, 09:51 AM
  5. sketch the graph
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: September 12th 2006, 11:39 PM

Search Tags


/mathhelpforum @mathhelpforum