Using the r, a, beR*parameters, we parameterize the y1 ,Y2: R³ helices asfollows.Y1:t → (r cos(at),r sin(at), abt),Y2:t → (r cos(-at),r sin(-at), abt)K, and K, curves and H, and H, curves; Calculate these bends and also find theEuclidean motion p: R³ → R³ such thaty2= PoY1•

The parameterize the γ1,γ2 :ℝ3 helices are γ1:t→(r cos(at), r sin(at), abt)γ2:t→(r cos(-at), r…

Using the r, a, beR*parameters, we parameterize the y1 ,Y2: R° helices as follows. Y1:t → (r cos(at),r sin(at), abt), V2it → (r cos(-at),r sin(-at), abt) K, and K, curves and H, and H, curves; Calculate these bends and also find the Euclidean motion o: R³ → R³ such thaty, = #oY1•

Using the r, a, beR*parameters, we parameterize the y1 ,Y2: R° helices as follows. Y1:t → (r cos(at),r sin(at), abt), V2it → (r cos(-at),r sin(-at), abt) K, and K, curves and H, and H, curves; Calculate these bends and also find the Euclidean motion o: R³ → R³ such thaty, = #oY1•

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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Question

Using the r, a, beR*parameters, we parameterize the y1 ,Y2: R³ helices as
follows.
Y1:t → (r cos(at),r sin(at), abt),
Y2:t → (r cos(-at),r sin(-at), abt)
K, and K, curves and H, and H, curves; Calculate these bends and also find the
Euclidean motion p: R³ → R³ such thaty2
= PoY1•

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