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Let F(t) = (t2 – 1, 2t, 2t2 + 3). a) Find limo K(t). b) What is the point of maximal curvature? c) Compute the normal and tangential components of acceleration as functions of t. What happens at t = 0. Compare your answer with (a) of this problem.

Let F(t) = (t2 – 1, 2t, 2t2 + 3). a) Find limo K(t). b) What is the point of maximal curvature? c) Compute the normal and tangential components of acceleration as functions of t. What happens at t = 0. Compare your answer with (a) of this problem.

Advanced Engineering Mathematics
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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**Problem 3** Let \(\vec{r}(t) = \langle t^2 - 1, 2t, 2t^2 + 3 \rangle\). a) Find \(\lim_{t \to \infty} \kappa(t)\). b) What is the point of maximal curvature? c) Compute the normal and tangential components of acceleration as functions of \(t\). What happens at \(t = 0\). Compare your answer with (a) of this problem.
Transcribed Image Text:**Problem 3** Let \(\vec{r}(t) = \langle t^2 - 1, 2t, 2t^2 + 3 \rangle\). a) Find \(\lim_{t \to \infty} \kappa(t)\). b) What is the point of maximal curvature? c) Compute the normal and tangential components of acceleration as functions of \(t\). What happens at \(t = 0\). Compare your answer with (a) of this problem.
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