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Let C be the curve represented by R(t) = (cos 2t, 2√√3t, 5 - sin 2t). ㅠ 1. Determine the curvature of C at t = 6 2. Reparametrize R using the arc length as parameter from the point P(-1, √37,5). 3. Find the coordinates of point Q on C such that the directed arc length from P to Q is 7 units.

Let C be the curve represented by R(t) = (cos 2t, 2√√3t, 5 - sin 2t). ㅠ 1. Determine the curvature of C at t = 6 2. Reparametrize R using the arc length as parameter from the point P(-1, √37,5). 3. Find the coordinates of point Q on C such that the directed arc length from P to Q is 7 units.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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V. Let C be the curve represented by R(t) = (cos 2t, 2√√3t, 5 — sin 2t). - π 1. Determine the curvature of C at t = 6 2. Reparametrize R using the arc length as parameter from the point P(-1,√√3, 5). 3. Find the coordinates of point Q on C such that the directed arc length from P to Q is 7 units.
Transcribed Image Text:V. Let C be the curve represented by R(t) = (cos 2t, 2√√3t, 5 — sin 2t). - π 1. Determine the curvature of C at t = 6 2. Reparametrize R using the arc length as parameter from the point P(-1,√√3, 5). 3. Find the coordinates of point Q on C such that the directed arc length from P to Q is 7 units.
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