Please verify my solution to this calc problem

  • Thread starter dnylander
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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

Thanks
 

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