For the curve defined by r(t) = (e cos(t), et sin(t)) find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at t = π. -e π -2π 2π +e -2π Σπ +é T(T) = Ñ(π) ат aN = = - = e -π

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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For the curve defined by
r(t) = (e cos(t), et sin(t))
find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at t = π.
-e
π
-2π 2π
+e
-2π Σπ
+é
T(T) =
Ñ(π)
ат
aN =
=
-
=
e
-π
Transcribed Image Text:For the curve defined by r(t) = (e cos(t), et sin(t)) find the unit tangent vector, unit normal vector, normal acceleration, and tangential acceleration at t = π. -e π -2π 2π +e -2π Σπ +é T(T) = Ñ(π) ат aN = = - = e -π
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