We given consider the curve C drawn by the vector function r(t) = 1) Set up the integral that gives the arc length along C between the points (1, 1, 0) and (e, 1/e, 2) ( Do not have to evaluate it, just leave it simplified with the proper limits of integration) 2) Determine the exact value of the curvature of C at the point (1, 1, 0).
We given consider the curve C drawn by the vector function r(t) = 1) Set up the integral that gives the arc length along C between the points (1, 1, 0) and (e, 1/e, 2) ( Do not have to evaluate it, just leave it simplified with the proper limits of integration) 2) Determine the exact value of the curvature of C at the point (1, 1, 0).
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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We given consider the curve C drawn by the vector function
r(t) =<e^t,e^-t,2t>
1) Set up the integral that gives the arc length along C between the points
(1, 1, 0) and (e, 1/e, 2)
( Do not have to evaluate it, just leave it simplified with the proper limits of
2) Determine the exact value of the curvature of C at the point (1, 1, 0).
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