the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t . A) Let r(t)=(cos 5t,sin 5t). Then T(π/4)= ( , ) B) Let r(t)=(t^2,t^3). Then T(5)= ( , ) C) Let r(t)=e^(5t)i+e^(−5t)j+tk Then T(2)= i+ j+ k .
the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t . A) Let r(t)=(cos 5t,sin 5t). Then T(π/4)= ( , ) B) Let r(t)=(t^2,t^3). Then T(5)= ( , ) C) Let r(t)=e^(5t)i+e^(−5t)j+tk Then T(2)= i+ j+ k .
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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Question
For the given position
A) Let r(t)=(cos 5t,sin 5t).
Then T(π/4)= ( , )
B) Let r(t)=(t^2,t^3).
Then T(5)= ( , )
C) Let r(t)=e^(5t)i+e^(−5t)j+tk
Then T(2)= i+ j+ k .
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