Posted by **Anon** on Friday, January 20, 2012 at 7:24pm.

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

x-axis.

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 x-axis below point A, the other from there to the point on the x-axis 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.)

## Answer this Question

## Related Questions

- Physics - three vectos are shown in fig. 3-32. their magnitudes are given in ...
- Math - 1. What is the name of the ray that is opposite of ray BA? Description of...
- geometry - A careless person wrote, using the figure in the shape of a Y the the...
- math - in the triangle ABC , AD ray bisects the exterior angle of the triangle ...
- math - On graph paper draw a ray from the origin through the point (-10,-10) ...
- math - On graph paper draw a ray from the origin through the point (-10,-10) ...
- Math - (Preferably answered by tomorrow night - that's plenty of time.) Ray OB ...
- Math - If a ray divides an angle into two acute angles, then it bisects the ...
- geometry - Draw the unit circle and a first-quadrant ray from the origin that ...
- college physics - A ray of light traveling in air strikes the midpoint of one ...

More Related Questions