Consider the following vector function. - (46, ½-12², 1²) r(t): (a) Find the unit tangent and unit normal vectors T(t) and N(t). T(t) = N(t) = = (b) Use the formula ê(t) k(t) = = IT'(t)| Ir' (t)] to find the curvature.
Consider the following vector function. - (46, ½-12², 1²) r(t): (a) Find the unit tangent and unit normal vectors T(t) and N(t). T(t) = N(t) = = (b) Use the formula ê(t) k(t) = = IT'(t)| Ir' (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.
(1/(12², 12²)
r(t) - (₁
N(t)
(a) Find the unit tangent and unit normal vectors T(t) and N(t).
T(t)
=
F
= 4t,
(b) Use the formula í(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%2Faf37d163-ac89-430b-9b3b-d71bc1bccf81%2Feq4cn5t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the following vector function.
(1/(12², 12²)
r(t) - (₁
N(t)
(a) Find the unit tangent and unit normal vectors T(t) and N(t).
T(t)
=
F
= 4t,
(b) Use the formula í(t)
k(t) =
=
IT'(t)|
Ir' (t)]
to find the curvature.
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