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Mathematics, 19.02.2020 01:01 shod74

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) inthe direction of increasing arc length.

(My attempt):
T comes to be 2pi and when the integral is done and solved to givea value of 26pi and the position comes to be (0,5,24pi). However, this calculation and answer though correct (according to the backof 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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Find the point on the curve r(t) = (5Sint)i + (5Cost)j +12tk
at a distance 26pi units along th...
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