A particle moves along the x-axis so that at any time t≥ 0, its velocity TT is given by v (t) = 6 sin (3 t). If the position of the particle at time t = 3 is x = 5, what was the particle's position at time t = 0?

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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Question
3
A function f has a Maclaurin series given by
X
(-1)"x²n+3
(2n + 1)!
3!
+
X
5!
+
+... Which of the following is an expression for f(x)?
Transcribed Image Text:3 A function f has a Maclaurin series given by X (-1)"x²n+3 (2n + 1)! 3! + X 5! + +... Which of the following is an expression for f(x)?
A particle moves along the x-axis so that at any time t≥ 0, its velocity
TT
is given by v (t) = 6 sin (3 t). If the position of the particle at time t =
3
is x = 5, what was the particle's position at time t = 0?
Transcribed Image Text:A particle moves along the x-axis so that at any time t≥ 0, its velocity TT is given by v (t) = 6 sin (3 t). If the position of the particle at time t = 3 is x = 5, what was the particle's position at time t = 0?
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