honors precalc problem

• Mar 21st 2010, 06:31 PM
dnylander
honors precalc problem
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
• Mar 21st 2010, 06:56 PM
Anonymous1
$\displaystyle a=$ radius

$\displaystyle x= 2a\cos(t)$
$\displaystyle y= a[1-\cos(2t)]$

$\displaystyle y= \frac{8a^3}{x^2 + 4a^2}$
• Mar 21st 2010, 07:00 PM
dnylander
anonymous1 that is no help at all! it is a math problem just answer it!
• Mar 21st 2010, 07:03 PM
Anonymous1
Quote:

Originally Posted by dnylander
anonymous1 that is no help at all! it is a math problem just answer it!

Huh? I'm in the process of typing. Remember this is your problem, not mine.
• Mar 21st 2010, 07:12 PM
dnylander
Sorry dude the last time I checked you just posted a link and no answer. So are you done typing? is this the complete answer?
• Mar 22nd 2010, 07:15 AM
Anonymous1
Hey, maybe you can take an honors class in using google. Why don't you give the link a try.

Witch of Agnesi -- from Wolfram MathWorld