Compute the signed curvatures

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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Exercise 7
particular, |K
Exercise 7. Compute the signed curvatures of the clockwise circle a(t) =
(cost, sin t), and the counterclockwise circle a(t) = (cos(-t), sin(-t)).
%3D
Exercise 8. Show that
Transcribed Image Text:particular, |K Exercise 7. Compute the signed curvatures of the clockwise circle a(t) = (cost, sin t), and the counterclockwise circle a(t) = (cos(-t), sin(-t)). %3D Exercise 8. Show that
Expert Solution
Step 1

in this question, we have to find the signed curvature for the given parametrized curves

α(t)=(cos(t), sin(t)and α(t)=(cos(-t), sin(-t))

we use the formula which is given in step-2.

 

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