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Parametric Representation

  1. May 11, 2009 #1
    1. The problem statement, all variables and given/known data

    Determine a parametric representation for the part of the sphere x2 + y2 + z2 = 4 that lies between the planes z = 1 & z = -1.

    2. Relevant equations



    3. The attempt at a solution

    We never learned spherical coordinates in class so im not sure if im using this correctly.

    radius = 2,

    x = 2sin([tex]\phi[/tex])cos([tex]\theta[/tex])

    y = 2cos([tex]\phi[/tex])sin([tex]\theta[/tex])

    z = 2cos([tex]\phi[/tex]) where -1 [tex]\leq[/tex] z [tex]\leq[/tex] 1
     
  2. jcsd
  3. May 11, 2009 #2

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  4. May 11, 2009 #3
    oops thats a typo, should y be


    y = 2sin[tex]\phi[/tex]sin[tex]\theta[/tex]
     
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