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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 5t, sin 5t). Then T()) B) Let r(t) = (t2, t³). Then T(3) = (.) C) Let r(t) = e5ti + e-³tj + tk. Then T(1)=i+i+k.

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 5t, sin 5t). Then T()) B) Let r(t) = (t2, t³). Then T(3) = (.) C) Let r(t) = e5ti + e-³tj + tk. Then T(1)=i+i+k.

Algebra & Trigonometry with Analytic Geometry
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 5t, sin 5t). Then T()) B) Let r(t) = (t2, t³). Then T(3) = (.) C) Let r(t) = e5ti + e-³tj + tk. Then T(1)=i+i+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 5t, sin 5t). Then T()) B) Let r(t) = (t2, t³). Then T(3) = (.) C) Let r(t) = e5ti + e-³tj + tk. Then T(1)=i+i+k.
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