t A particle moves along the x-axis, its position given by x (t) t > 0, where 1+ t2 t is measured in seconds and x in meters. (a) Find the acceleration at time t. (b) When is the particle speeding up? (c) When is the particle slowing down? (a) a(t) = (b)

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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t
A particle moves along the x-axis, its position given by x(t)
t > 0, where
1+ t2 '
t is measured in seconds and x in meters.
(a) Find the acceleration at time t.
(b) When is the particle speeding up?
(c) When is the particle slowing down?
(a) a(t) =
(b)
<t <
(c)
<t <
and t >
Transcribed Image Text:t A particle moves along the x-axis, its position given by x(t) t > 0, where 1+ t2 ' t is measured in seconds and x in meters. (a) Find the acceleration at time t. (b) When is the particle speeding up? (c) When is the particle slowing down? (a) a(t) = (b) <t < (c) <t < and t >
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