Consider the following vector function. r(t) = (4t, 1/2t^2,t^2) (a) Find the unit tangent and unit normal vectors T(t) and N(t). (b) Use this formula to find the curvature. formula k(t)= |T'(t)|/|r'(t)|
Consider the following vector function. r(t) = (4t, 1/2t^2,t^2) (a) Find the unit tangent and unit normal vectors T(t) and N(t). (b) Use this formula to find the curvature. formula k(t)= |T'(t)|/|r'(t)|
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 43E
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Consider the following vector function.
r(t) = (4t, 1/2t^2,t^2)
(a) Find the unit tangent and unit normal vectors T(t) and N(t).
(b) Use this formula to find the curvature.
formula k(t)= |T'(t)|/|r'(t)|
this is the only information given
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