Consider the vector function given below. r(t) =   7t, 5 cos(t), 5 sin(t)   (a) Find the unit tangent and unit normal vectors T(t) and N(t). T(t)  = N(t) (b) Use the formula  ?(t) =  |T ′(t)| |r ′(t)| to find the curvature. ?(t) =

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 vector function given below.
r(t) = 
 
7t, 5 cos(t), 5 sin(t)
 
(a)
Find the unit tangent and unit normal vectors T(t) and N(t).
T(t)

 =

N(t)
(b)
Use the formula 
?(t) = 
|T ′(t)|
|r ′(t)|
 to find the curvature.
?(t) =
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