Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 7 cos(t)i + 7 sin(t)j, t = " 6 )=
Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 7 cos(t)i + 7 sin(t)j, t = " 6 )=
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 Statement:**
Find the unit tangent vector to the curve at the specified value of the parameter.
Given:
\[ \mathbf{r}(t) = 7 \cos(t) \mathbf{i} + 7 \sin(t) \mathbf{j}, \quad t = \frac{\pi}{6} \]
**Required:**
Find:
\[ \mathbf{T} \left( \frac{\pi}{6} \right) = \]
(An empty box follows, indicating the solution needs to be filled in, and a red cross mark suggests an incorrect or incomplete solution thus far.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18936370-e2cc-46bd-a4d0-3c2ee0736afc%2F9a747953-4108-4872-a6c9-1974bd94fa40%2Fl0lgqui_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find the unit tangent vector to the curve at the specified value of the parameter.
Given:
\[ \mathbf{r}(t) = 7 \cos(t) \mathbf{i} + 7 \sin(t) \mathbf{j}, \quad t = \frac{\pi}{6} \]
**Required:**
Find:
\[ \mathbf{T} \left( \frac{\pi}{6} \right) = \]
(An empty box follows, indicating the solution needs to be filled in, and a red cross mark suggests an incorrect or incomplete solution thus far.)
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