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The path of a particle satisfies dr dt (2et/3, (t - 3)2, sin (t) + 2), r(0) = (5,-4, 2) Find the parametrization r(t) of the path. Find the location of the particle at t = 6 (leave your answer in the exact form). What is the velocity of the particle at time t = 0?

The path of a particle satisfies dr dt (2et/3, (t - 3)2, sin (t) + 2), r(0) = (5,-4, 2) Find the parametrization r(t) of the path. Find the location of the particle at t = 6 (leave your answer in the exact form). What is the velocity of the particle at time t = 0?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The path of a particle satisfies dr dt = (2et/3, (t-3)2, sin (t) + 2), r(0) = (5,-4, 2) (a) Find the parametrization r(t) of the path. (b) Find the location of the particle at t = 6 (leave your answer in the exact form). (c) What is the velocity of the particle at time t = 0?
Transcribed Image Text:The path of a particle satisfies dr dt = (2et/3, (t-3)2, sin (t) + 2), r(0) = (5,-4, 2) (a) Find the parametrization r(t) of the path. (b) Find the location of the particle at t = 6 (leave your answer in the exact form). (c) What is the velocity of the particle at time t = 0?
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