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Differential Geometry (4) Show that the helix α(t) = (2 cos(3t), 2sin(3t), 3t) lies on a...

Differential Geometry

(4) Show that the helix α(t) = (2 cos(3t), 2sin(3t), 3t) lies on a circular cylinder, and find the arc-length of the helix. Determine β(s), the Reparametrized the helix by using the arc-length as the parameter.

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Answer #1

giren that & (t) = (2083t, 2 sin3t, t) Now (2 2083+) (2 sim 34) 2 so, it is of the form Dragran so, it is lies on the circula

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