(adsbygoogle = window.adsbygoogle || []).push({}); 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.

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# Use symbolic algebra software to sketch the surface

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