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Vector Analysis : Construction of a Plane Curve

Please see the attached file for the fully formatted problems.

Problem: Assume you are given a non-negative function K(s). We would like to construct a plane curve B(s) with curvature
K(s).....

HINT: Use the Fundamental Theorem of Calculus to show B has unit speed and then compute dT/ds.

Problem: I. If K(s) = ... using the above datum, construct a formula for B(s).

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Solution Summary

Construction of a Plane Curve is investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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