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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 30E

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Question

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(X)
B) Let r(t) = (t², t³).
Then T(4) = (.)
C) Let r(t) = e¹ti + e¯¹tj + tk.
Then T(3)= i+ j+ k.

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