1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    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.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook