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) =
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
Related questions
Question
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) =
to find the curvature.|T ′(t)| |
|r ′(t)| |
?(t) =
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