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Describing the equation yz=4

  1. Sep 15, 2011 #1
    1. The problem statement, all variables and given/known data
    Describe and sketch the surface in R^3:
    yz=4


    2. Relevant equations



    3. The attempt at a solution
    So y= 4/z and z=4/y, and in 3-d that becomes two hyperboloids of one sheet...how do i connect them and what is the resulting figure called? I really appreciate the help!
     
  2. jcsd
  3. Sep 15, 2011 #2

    dynamicsolo

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    Homework Helper

    You are correct in that you get two pieces, but they are not hyperboloids (those types of surfaces require two of the perpendicular cross-sections to be hyperbolas). Since this has the same cross-section for all values of x , the best name for it might be a "hyperbolic cylinder". (And the two parts won't be connected.)
     
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