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If A is a positive number, the parametric curve (x = t^3 t y = A/(1 + t^22) looks like: For one value of A, the "self-intersection" of the curve is...

If A is a positive number, the parametric curve
(x = t^3 − t
y = A/(1 + t^22)
looks like:
For one value of A, the “self-intersection” of the curve is perpendicular. The picture
looks like:
Find that value of A.

link is available: http://math.rutgers.edu/~pranadav/Workshop6Sp10 question 3

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