For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t. A) Let r(t) = (cos 4t, sin 4t). Then T()= (₁) B) Let r(t) = (t2, t³). Then T(1)=(.) C) Let r(t) = eti+ e¯ªj + tk. Then T(2)= i+ j+

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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For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t.
A) Let r(t) = (cos 4t, sin 4t).
Then
T(4)=(,)
B) Let r(t) = (t², t³).
Then T(1)=(.
C) Let r(t) = eti + e¯tj + tk.
Then T(2)=
i+j+k.
Transcribed Image Text:For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t. A) Let r(t) = (cos 4t, sin 4t). Then T(4)=(,) B) Let r(t) = (t², t³). Then T(1)=(. C) Let r(t) = eti + e¯tj + tk. Then T(2)= i+j+k.
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