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thanksfrthehelp!

For each of the following equtions describe the surface and identify the traces. What does it mean by traces? x^2+y^2-2z=0 Thank you very much for your help!!!

  • one year ago
  • one year ago

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  1. satellite73
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    means the set of all points that fit this equation http://www.wolframalpha.com/input/?i=x^2%2By^2-2z%3D0

    • one year ago
  2. satellite73
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    oooh "traces" my fault

    • one year ago
  3. satellite73
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    cross section parallel to a plane \(xy\) trace, set \(z=0\) for example

    • one year ago
  4. satellite73
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    so in this case the \(xy\) trace is given by the equation \(x^2+y^2=0\) which is a point at the origin of the \(xy\) plane

    • one year ago
  5. satellite73
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    and the \(xz\) trace is \(x^2-2z=0\) or \(x^2=2z\) a parabola

    • one year ago
  6. thanksfrthehelp!
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    Ok, I understand. Thank you!

    • one year ago
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