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Find each of the following at point P(0,1,0) of the curve C given by the vector r(t)=< sin t, cos t, 3t>. 1) The unit tangent vector T at P.

2) The principal unit normal vector N at P. 3) The equation of the osculating plane at P. 4) The radius R of the osculating circle at P. 5) The center C of the osculating circle at P. 6) A vector function of the osculating circle at P.

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