Suppose the position function of a particle is given r(t) = (√3 cos (t), t-4, √3 sin(t)). If the particle travels along the curve 8 units from t = 1 to t= b, the value of b.
Suppose the position function of a particle is given r(t) = (√3 cos (t), t-4, √3 sin(t)). If the particle travels along the curve 8 units from t = 1 to t= b, the value of b.
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:**Problem Statement:**
Suppose the position function of a particle is given by \(\mathbf{r}(t) = \langle \sqrt{3}\cos(t), t - 4, \sqrt{3}\sin(t) \rangle \).
If the particle travels along the curve \(8\pi\) units from \(t = 1\) to \(t = b\), find the value of \(b\).
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