(a) The curve with equation 2y 3 ! y 2 # y 5 ! x 4 # 2x 3 ! x 2 has been likened to a

Chapter 3, Problem 3.5.38

(choose chapter or problem)

(a) The curve with equation 2y 3 ! y 2 # y 5 ! x 4 # 2x 3 ! x 2 has been likened to a bouncing wagon. Use a computeralgebra system to graph this curve and discover why.(b) At how many points does this curve have horizontaltangent lines? Find the -coordinates of these points.

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