The swallowtail catastrophe curves are defined by the parametric equations x 2ct 2 4t 3

Chapter 10, Problem 48

(choose chapter or problem)

The swallowtail catastrophe curves are defined by the parametric equations x 2ct 2 4t 3 , y 2ct 2 1 3t 4 . Graph several of these curves. What features do the curves have in common? How do they change when c increases?

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