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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. 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:3. 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?
7. A function f has a Maclaurin series given by x
3
(-1)"x²n+3
(2n + 1)!
+....
(A) x sin x³
(B) x² cos x
(C) x cos x
O (D) x² sin x
X
X
+
3! 5!
Which of the following is an expression for f(x) ?
Transcribed Image Text:7. A function f has a Maclaurin series given by x 3 (-1)"x²n+3 (2n + 1)! +.... (A) x sin x³ (B) x² cos x (C) x cos x O (D) x² sin x X X + 3! 5! Which of the following is an expression for f(x) ?
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