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) = (b) Use the formula k(t) k(t) = IT'(t)| Ir'(t)\ to find the curvature.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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Consider the following vector function..
= (2√/2t, e²t, e-2t)
(a) Find the unit tangent and unit normal vectors T(t) and (t).
T(t)
N(t)
(b) Use the formula x(t) =
k(t) =
IT'(t) |
Ir' (t)|
to find the curvature.
Transcribed Image Text:Consider the following vector function.. = (2√/2t, e²t, e-2t) (a) Find the unit tangent and unit normal vectors T(t) and (t). T(t) N(t) (b) Use the formula x(t) = k(t) = IT'(t) | Ir' (t)| to find the curvature.
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