Consider the parametrized curve given by r(t) = (cos 2t, sin 2t, t) for 0 ≤ t < ∞. Reparametrize this curve with respect to arc length then reconder the curve that you reparametrized. That is, have a look at r(t)=(cos2t,sin2t,t) where 0≤t<∞ again. Calculate the curvature at the point (0,1,π4) .
Consider the parametrized curve given by r(t) = (cos 2t, sin 2t, t) for 0 ≤ t < ∞. Reparametrize this curve with respect to arc length then reconder the curve that you reparametrized. That is, have a look at r(t)=(cos2t,sin2t,t) where 0≤t<∞ again. Calculate the curvature at the point (0,1,π4) .
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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Consider the parametrized curve given by r(t) = (cos 2t, sin 2t, t) for 0 ≤ t < ∞. Reparametrize this curve with respect to arc length then reconder the curve that you reparametrized. That is, have a look at r(t)=(cos2t,sin2t,t) where 0≤t<∞ again. Calculate the curvature at the point (0,1,π4) .
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