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Suppose r(t) = t2i + (t3 −t)j + (t−1)2k is the position vector of a moving...

Suppose r(t) = t2i + (t3 −t)j + (t−1)2k is the position vector of a moving particle.

a. [2] At what point does the particle pass through the xy-plane?

b. [2] What is its velocity vector at this point? c. [4] What is the radius of curvature of the trajectory at this point?

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