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In: Math

Let ¯r(t) = < t, t^2 , t^3 >be a twisted cubic. a) Find the osculating...

Let ¯r(t) = < t, t^2 , t^3 >be a twisted cubic.

a) Find the osculating circle for this twisted cubic at t = 0.

b) Try to do the same for the ordinary cubic parabola ¯r(t) = <t, 0, t^3 >. Explain why did you fail to do that.

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