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Find the unit tangent vector of the given curve. r(t) = (7t cost-7 sin t)j + (7t sin t + 7 cost) k OT= (-7 sin t)j + (7 cos t)k O T = (-sin t)j + (cos t)k O T=(7 cos t)j - (7 sin t)k O T = - = (sin t)j + = (cos t)k

Find the unit tangent vector of the given curve. r(t) = (7t cost-7 sin t)j + (7t sin t + 7 cost) k OT= (-7 sin t)j + (7 cos t)k O T = (-sin t)j + (cos t)k O T=(7 cos t)j - (7 sin t)k O T = - = (sin t)j + = (cos t)k

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 25E
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Find the unit tangent vector of the given curve. r(t) = (7t cost-7 sin t)j + (7t sin t + 7 cos t) k O T = (-7 sin t)j + (7 cost)k OT = (-sin t)j + (cos t)k O T=(7 cos t)j - (7 sin t)k O T = - = (sin t)j + = (cos t)k
Transcribed Image Text:Find the unit tangent vector of the given curve. r(t) = (7t cost-7 sin t)j + (7t sin t + 7 cos t) k O T = (-7 sin t)j + (7 cost)k OT = (-sin t)j + (cos t)k O T=(7 cos t)j - (7 sin t)k O T = - = (sin t)j + = (cos t)k
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