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Use symbolic algebra software to sketch the surface

  • Thread starter jjangub
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  • #1
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Homework Statement


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.


Homework Equations





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.
 

Answers and Replies

  • #2
jbunniii
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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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