Calc 1 problem

1. Mar 21, 2010

dnylander

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)

Thanks SO SO much

2. Mar 21, 2010

Staff: Mentor

3. Mar 21, 2010

dnylander

Sorry mark I'm new

4. Mar 21, 2010

dnylander

Please post a response if you get the chance. I'm sorry I double posted- I promise I won't do it again. (that's not an excuse to not answer my question haha)

5. Mar 21, 2010

sutupidmath

One of the rules of PF is that you have to post your attempt at the solution before anyone here can provide any hints.

6. Mar 21, 2010