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CalculusQ&A LibraryIn 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 <= pai2. r(t) = (6 sin 2t)i + (6 cos 2t)j + 5t k, 0 <=t<=pai3. r(t) = ti + (2/3)t3/2 k, 0<=t<= 84. r(t) = (2 + t)i - (t + 1)j + t k, 0<= t<= 3Question

Asked Jan 27, 2020

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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

Step 1

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1.)

Find the curves unit tangent vector.

Step 2

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