Question: The swallowtail catastrophe curves are defined by the parametric equations x = 2ct 4t3, y = ct2 + 3t4. Graph several of these

The swallowtail catastrophe curves are defined by the parametric equations x = 2ct – 4t3, y = – ct2 + 3t4. Graph several of these curves. What features do the curves have in common? How do they change when increases?

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