(558, #23) Show that the curve has two tangents at (0,0) and find the

(558, #23) Show that the curve has two tangents at (0,0) and find their equations. Sketch the curve.
Solution:
The curve goes through the origin twice:

To find the slope of the tangent lines, Thus the equations for the two tangent lines are y = -x and y = x.
Maple Code

by: nl