Asked Jan 27, 2020

In Exercises 1–4, find the curve’s unit tangent vector. Also, find the length of the indicated portion of the curve.

1. r(t) = (2 cos t)i + (2 sin t)j + 25t k, 0 <=t <= pai

2. r(t) = (6 sin 2t)i + (6 cos 2t)j + 5t k, 0 <=t<=pai

3. r(t) = ti + (2/3)t3/2 k, 0<=t<= 8

4. r(t) = (2 + t)i - (t + 1)j + t k, 0<= t<= 3


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Find the curves unit tangent vector.

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