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Vector Calc: Finding A Path c(t) to Represent a Curve

  1. Mar 22, 2006 #1
    I need to find the path, c(t), to represent the set of all (x,y) such that 4x^2 + y^2 = 1. This seems like such a simple question but I don't know where to begin (I know that a path is a function or map over an interval whose image is the function I have). Can anyone offer some help?
  2. jcsd
  3. Mar 22, 2006 #2


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    Well, you should be able to recognize that as the equation of an ellipse with width 1/4 and height 1. From that you can just write down c(t). You know how to parametrize a circle, right? What would you do to that parametrization so that the curve is 1/4 as wide in the x direction?
    Last edited: Mar 22, 2006
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