(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the point on the curve r(t) = (5Sint)i + (5Cost)j + 12tk

at a distance 26pi units along the curve from the point (0,5,0) in the direction of increasing arc length.

2. Relevant equations

L = int (|v|) from 0 to T.

3. The attempt at a solution

T comes to be 2pi and when substituted, the position comes to be (0,5,24pi). However, this calculation and answer though correct (according to the back of the book) does not involve the use of the fact that at time t=0, the particle is at (0,5,0).

What for is that information given then?

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# Homework Help: Arc Length curve

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