Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Exercise 1: 1. Show that the curve a(t) = (t,t2+1,t- 1) is regular. %3D 2. Find the curvature of the curve r(t) = (t,t,t) at t = 1. 3. Show that the following curves are unit-speed and Com- pute the curvature of each curve. B(1) = ((1 + t)}, }(1 –t), ) . (t) = ( cos t, 1- sin t, - cos t).
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Transcribed Image Text:Exercise 1: 1. Show that the curve a(t) = (t,t2+1,t- 1) is regular. %3D 2. Find the curvature of the curve r(t) = (t,t,t) at t = 1. 3. Show that the following curves are unit-speed and Com- pute the curvature of each curve. B(1) = ((1 + t)}, }(1 –t), ) . (t) = ( cos t, 1- sin t, - cos t).
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