ramdialsamuel1355 ramdialsamuel1355
  • 25-08-2022
  • Mathematics
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Find a vector parametric equation for the part of the saddle z=xy inside the cylinder x2 y2=9.

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LammettHash
LammettHash LammettHash
  • 25-08-2022

Use cylindrical coordinates.

[tex]\vec s(x,y,z) = \vec\sigma(r,\theta,z) = r\cos(\theta)\,\vec\imath + r\sin(\theta)\,\vec\jmath + r^2\cos(\theta)\sin(\theta)\,\vec k[/tex]

where [tex]0\le r\le3[/tex] and [tex]0\le\theta\le2\pi[/tex].

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