Find the unit tangent vector to the curve defined by r(t) = (4 cos(t), 4 sin(t), 5 sin²(t)) at t - 7 (7) - = 6 6 Use the unit tangent vector to write the parametric equations of a tangent line to the curve ㅠ at t = 6 x(t) = y(t) = z(t) = =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 53E
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Find the unit tangent vector to the curve defined by
r(t) = (4 cos(t), 4 sin(t), 5 sin²(t))
at t
-
Ť(7)
6
x(t) =
y(t) =
z(t) =
G
6
Use the unit tangent vector to write the parametric equations of a tangent line to the curve
ㅠ
at t =
6
=
=
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Transcribed Image Text:Find the unit tangent vector to the curve defined by r(t) = (4 cos(t), 4 sin(t), 5 sin²(t)) at t - Ť(7) 6 x(t) = y(t) = z(t) = G 6 Use the unit tangent vector to write the parametric equations of a tangent line to the curve ㅠ at t = 6 = = Submit Question
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