Find the unit tangent vector T and the curvature K for the following parameterized curve. r(t) = (4 cos t,4 sint 2t Choose the correct answer for the unit tangent vector of r(t). 2/2 22 O A. T(1) = sint, cost, 3 22 2/2 cos t, O B. T(t)= sint, 2/2 sin t, 3 2/2 cos t 3 OC. T()= 22 sint, 3 2/2 D. T()= cost, 3

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 33E
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Find the unit tangent vector T and the curvature K for the following parameterized curve.
r(t) = (4 cos t,4 sin t,2t)
Choose the correct answer for the unit tangent vector of r(t).
2/2
OA. T(t)=
2/2
sin t,
cost,
3.
212
co t,
3
2/2
O B. T(t)=
sin t,
3.
2/2
2/2
OC. T()=
sint,-
cos t,
2/2
2/2
D. T()=
sin t,
Cos
cost,
3
K%=
3.
Transcribed Image Text:Find the unit tangent vector T and the curvature K for the following parameterized curve. r(t) = (4 cos t,4 sin t,2t) Choose the correct answer for the unit tangent vector of r(t). 2/2 OA. T(t)= 2/2 sin t, cost, 3. 212 co t, 3 2/2 O B. T(t)= sin t, 3. 2/2 2/2 OC. T()= sint,- cos t, 2/2 2/2 D. T()= sin t, Cos cost, 3 K%= 3.
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