# find the length of the indicated portion of the curve.11. r(t) = (4 cos t)i + (4 sin t)j + 3t k, 0<=t <=pai/212. r(t) = (cos t + t sin t)i + (sin t - t cos t)j, pai/2<=t <=pai13. r(t) = (et cos t)i + (et sin t)j + et k, -ln 4 <=t<= 014. r(t) = (1 + 2t)i + (1 + 3t)j + (6 - 6t)k, -1<=t<=0.

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find the length of the indicated portion of the curve.

11. r(t) = (4 cos t)i + (4 sin t)j + 3t k, 0<=t <=pai/2

12. r(t) = (cos t + t sin t)i + (sin t - t cos t)j, pai/2<=t <=pai

13. r(t) = (et cos t)i + (et sin t)j + et k, -ln 4 <=t<= 0

14. r(t) = (1 + 2t)i + (1 + 3t)j + (6 - 6t)k, -1<=t<=0.

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Step 1

We’ll answer the first question since the exact one wasn’t specified. Please submit a new question specifying the one you’d like answered.

Given:

Step 2

Differentiate r (t) with respect to ‘t’:

Step 3

Now find the ma...

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