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Let r (t) = (sin (6r), cos (6t) , sin (6t) cos (12t)). Find the point where r (t) intersects the xy-plane on the interval *

Let r (t) = (sin (6r), cos (6t) , sin (6t) cos (12t)). Find the point where r (t) intersects the xy-plane on the interval *

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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Let \( \mathbf{r}(t) = \langle \sin(6t), \cos(6t), \sin(6t) \cos(12t) \rangle \). Find the point where \( \mathbf{r}(t) \) intersects the \( xy \)-plane on the interval \( \frac{2\pi}{23} < t < \frac{4\pi}{25} \). (Use symbolic notation and fractions where needed. Give your answer as a point in the form \( (\ast, \ast, \ast) \).) Point: \(\boxed{}\)
Transcribed Image Text:Let \( \mathbf{r}(t) = \langle \sin(6t), \cos(6t), \sin(6t) \cos(12t) \rangle \). Find the point where \( \mathbf{r}(t) \) intersects the \( xy \)-plane on the interval \( \frac{2\pi}{23} < t < \frac{4\pi}{25} \). (Use symbolic notation and fractions where needed. Give your answer as a point in the form \( (\ast, \ast, \ast) \).) Point: \(\boxed{}\)
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