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Parametrized curve

  1. Apr 6, 2009 #1
    1. The problem statement, all variables and given/known data
    Find parametric equations for the curve y = 2 - 7x3 through the point (0, 2, 25), parallel to the xy-plane.


    2. Relevant equations



    3. The attempt at a solution

    The answer is:
    x(t) = t
    y(t) = 2-7t^3
    z(t) = 25

    but I don't know how to get there. Any help please?
     
  2. jcsd
  3. Apr 6, 2009 #2

    Dick

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    What's the problem? It looks like they want you to take the curve y=2-7x^3 in the x-y (z=0) plane and translate up to the z=25 plane and express in parametric form. This is far from the hardest problem you've posted.
     
  4. Apr 6, 2009 #3
    well.. I don't know how to get the parametric equations from this..
     
  5. Apr 7, 2009 #4

    Dick

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    Here's a 'simpler' example. The curve is y^2=x in the plane. Pick t=y. Then y(t)=t and x(t)=y(t)^2=t^2 is the parametric version.
     
  6. Apr 7, 2009 #5
    I know how to do y^2
     
  7. Apr 7, 2009 #6

    Dick

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    How is your problem different?
     
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