+1 862 207 3288 2y3 + y2 – y5 = x4 – 2×3 + x2
(a) The curve with equation
2y3 + y2 – y5 = x4 – 2×3 + x2
has been likened to a bouncing wagon. Use a computer algebra system to graph this curve and discover why.
(b) At how many points does this curve have horizontal tangent lines? Find the x-coordinates of these points.
