Motion along a curve   a) a(t) = <2t, 2sin(t), cos(4t) >. At t = 0, the velocity is <1, -3, 2> and the position is <2, -1, -1 >. Find v(t) and r(t).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 43E
Question
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Motion along a curve  

a) a(t) = <2t, 2sin(t), cos(4t) >. At t = 0, the velocity is <1, -3, 2> and the position is <2, -1, -1 >. Find v(t) and r(t).

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