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Find the arc length (s) of the curve S = F(t) = (16 sin(-2t), 14 cos(-2t), 2√15 cos(-2t)) for 0

Find the arc length (s) of the curve S = F(t) = (16 sin(-2t), 14 cos(-2t), 2√15 cos(-2t)) for 0

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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**Question 3** Find the arc length (\(s\)) of the curve \(\vec{r}(t) = \langle 16 \sin(-2t), 14 \cos(-2t), 2\sqrt{15} \cos(-2t) \rangle\) for \(0 \leq t \leq \pi\). \[ s = \] [Submit Question]
Transcribed Image Text:**Question 3** Find the arc length (\(s\)) of the curve \(\vec{r}(t) = \langle 16 \sin(-2t), 14 \cos(-2t), 2\sqrt{15} \cos(-2t) \rangle\) for \(0 \leq t \leq \pi\). \[ s = \] [Submit Question]
Expert Solution
Step 1: Solution

Given curve: r with rightwards arrow on top left parenthesis t right parenthesis equals open angle brackets 16 sin left parenthesis negative 2 t right parenthesis comma space 14 cos left parenthesis negative 2 t right parenthesis comma space 2 square root of 15 cos left parenthesis negative 2 t right parenthesis close angle brackets

Where 0 less or equal than t less or equal than straight pi

We have to find the arc length of the given curve.


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