Consider the following vector function. r(t) = (2√/2t,6²², 6-2t) (a) Find the unit tangent and unit normal vectors T(t) and N(t) T(t) N(t) = = (b) Use the formula k(t) k(t): = = IT'(t)| │r'(t)| to find the curvature.
Consider the following vector function. r(t) = (2√/2t,6²², 6-2t) (a) Find the unit tangent and unit normal vectors T(t) and N(t) T(t) N(t) = = (b) Use the formula k(t) k(t): = = IT'(t)| │r'(t)| to find the curvature.
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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![Consider the following vector function.
r(t) = (2√2t, e²t, e-2t)
(a) Find the unit tangent and unit normal vectors T(t) and N(t).
T(t) =
N(t)
www.
(b) Use the formula ê(t) =
k(t) =
IT'(t)|
Ir' (t) |
to find the curvature.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c5a5d39-4610-4542-84f3-e3a5fb07be7c%2F45a3e0be-1e67-4a02-a939-c70c61755412%2F5w9w3r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following vector function.
r(t) = (2√2t, e²t, e-2t)
(a) Find the unit tangent and unit normal vectors T(t) and N(t).
T(t) =
N(t)
www.
(b) Use the formula ê(t) =
k(t) =
IT'(t)|
Ir' (t) |
to find the curvature.
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