Question 2 Consider the vector function r(t) that has unit tangent vector T(t) = √1+5₁2(1,1,2t), 0≤1≤2. Suppose that the tangent vector of r(t) has magnitude √1+51².
Question 2 Consider the vector function r(t) that has unit tangent vector T(t) = √1+5₁2(1,1,2t), 0≤1≤2. Suppose that the tangent vector of r(t) has magnitude √1+51².
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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Transcribed Image Text:Question 2
Consider the vector function r(t) that has unit tangent vector
1
T(t) =
VI+5₁² (1,1,21),
0≤1≤2.
Suppose that the tangent vector of r(t) has magnitude √1+51².
Transcribed Image Text:(a)
(b)
Find the curvature K of the curve r(t) at a general point t.
Find the vector function r(t) such that r(0) = 0.
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