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Use symbolic algebra software to sketch the surface

  1. Mar 30, 2010 #1
    1. The problem statement, all variables and given/known data
    Let S be the union of the two smooth surfaces S1 and S2, where S1={(x,y,z) l x^2+y^2=1, 0[tex]\leq[/tex]z[tex]\leq[/tex]3-sqrt(3)} and S2={(x,y,z) l x^2+y^2+(z-3)^2=4, z[tex]\geq[/tex]3-sqrt(3)}. Use symbolic algebra software to sketch the surface S.


    2. Relevant equations



    3. The attempt at a solution
    I used Maple to sketch the surface S.
    I know how to sketch S1.
    I have a problem with S2. It says the error of "the range of z" whenever I tried to sketch S2.
    I have no idea how the shape of S2 would be.
    Please someone help me.
    Thank you very much.
     
  2. jcsd
  3. Mar 30, 2010 #2

    jbunniii

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    Re: Calculus2

    First, what does this surface look like?

    [tex]\{(x,y,z) | x^2 + y^2 + (z-3)^2 = 4\}[/tex]

    The surface S2 will be a subset of the above, because it adds a constraint on z.
     
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