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Let C be the path of a moving particle with position vector 〈 t a n...

Let C be the path of a moving particle with position vector 〈 t a n ( t ) , s e c ( t ) , 2 〉 for t ∈ ( − π 2 , π 2 ). Completely describe and sketch the curve C and indicate its orientation. Calculate the position, velocity and acceleration vectors for t = 0, and sketch them together with the curve.

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