Precalculus
posted by Anon .
The figure below shows a conchoid of Nicomedes. The top part is formed by a ray from the origin that rotates through an angle t° with the
xaxis.
The ray intersects the fixed line y = 2 at point A. From A you measure out 7 more units to point P on the graph of the conchoid. The bottom part is formed when the ray is in Quadrants III and IV and you measure 7 units from where the line containing the ray intersects the fixed line.
The parametric equation for x has two parts, one for the segment from the origin to the point on the xaxis below point A, the other from there to the point on the xaxis below point P. Write an equation for x as a function of t.
x = 2 t + t
Write the parametric equation for y as a function of t. It, too, will have two parts.
y = + t
The Cartesian equation of this conchoid is
(x^2 + y^2)(y  2)^2 = 49y^2
Verify that this equation is correct by calculating the values of x if y is 8 and showing that the points really are on the conchoid.
(Round to the nearest hundredth.)

Now this is getting out of control. You try.
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