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Find the unit tangent vector at the indicated point of the vector function r(t)=e^(18t) cos t i+e^(18t) sin t j+e^(18t)k T(π/2)=⟨ , , ⟩

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.CR: Chapter 9 Review

Problem 54CR

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Question

Find the unit tangent vector at the indicated point of the vector function
r(t)=e^(18t) cos t i+e^(18t) sin t j+e^(18t)k

T(π/2)=⟨ , , ⟩

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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