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

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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) = [10 cos t, 1, 10 sin t], P: (6, 1, 8)

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