Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Types of graphs

  1. Apr 29, 2010 #1
    Im trying to check my answers to a problem, and in the past i've used a 3d grapher to graph functions like f(x,y) = whatever.

    but now i need to find a tangent plane to a surface at a point.

    the surface is:

    x2y+y2z-z2x=1


    but i dont know how to go about graphing something expressed that way.

    are there different names to these types of graphs?

    are there programs that will graph things expressed other than z=[stuff w/ x and y]?
     
    Last edited: Apr 29, 2010
  2. jcsd
  3. Apr 29, 2010 #2

    chiro

    User Avatar
    Science Advisor

    If you find the tangent in orthogonal directions you should be able to use the tangent vectors in both directions to compute the normal and hence the tangent plane. Have you studied multivariable and vector calculus?
     
  4. Apr 29, 2010 #3
    im in a multivariable calculus class right now, and the point given was (2,3,-1)

    what i did was take the partials w/ respect to x y and z.
    then i plugged in the values at that point.

    then i plugged that into the equation

    fx(x-x0)+fy(y-y0)+fz(z-z0)= 0

    i ended up getting 11x-2y+13z = 3

    but my question was mainly about the notation of the equations.
    some expressed in terms of z or f(x,y). this one is given as a function of (x,y,z) = constant

    i guess its like comparing graphs like x2+y2=1 to f(x)= y= 3x+1
    its harder to graph the first one on a calculator because its not a function of x.

    are there names for different forms of the equations?
    and also, is there a good graphing program to graph those kinds of surfaces.
     
    Last edited: Apr 29, 2010
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Types of graphs
  1. Typing exponents (Replies: 3)

  2. Math typing (Replies: 3)

  3. Type of Induction (Replies: 9)

  4. Type of Equation (Replies: 3)

  5. Type of inequalities (Replies: 3)

Loading...