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Please verify my solution to this calc problem

  1. Mar 21, 2010 #1
    whitch of agnesi problem) its a curve defined as follows. let O be the origin, let T be the point (0,1), and let m be the line through T parallel to the x-axis. Let C be the circle centered at (0,0.5) with radius 0.5. For any point P on the circle besides O and T, we draw a ray from O through P. let this ray intersex m at point X. we then draw the altitude from X to the line through P parallel to the x-axis. The foot of this altitude, point A, is on the witch curve. When we trace out the resulting points A for all possible P, and include point T, we get the witch curve. Find the Parameterization for it and a function f such that the witch curve is the graph of the function y = f(x)

    My answer:
    a= radius
    x= 2acos(t)
    y= a[1-cos 2(t)]
    y= 8a^3/x^2+4a^2

  2. jcsd
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