Given a curve C: r(t), find a tangent vector r'(t), a unit tangent vector u' (t), and

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Given a curve C: r(t), find a tangent vector r'(t), a unit tangent vector u' (t), and the tangent of C at P. Sketch curve and tangent.

r(t) = [t, 1/2t2, 1], P: (2, 2, 1)

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