A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose graph is shown in the figure below. The inflection points of the graph are marked with green circles. Find all intervals of time when the speed of the particle is increasing. y 8 7 6 5 4 3 -2 -1 2 1 -1 -2 -3 -4 -5 -7 -8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose
graph is shown in the figure below. The inflection points of the graph are marked with green
circles. Find all intervals of time when the speed of the particle is increasing.
y
5
4
3
2
LA
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
-2
-3
-4
8
7
6
-5
--68
-7
-8
Transcribed Image Text:A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose graph is shown in the figure below. The inflection points of the graph are marked with green circles. Find all intervals of time when the speed of the particle is increasing. y 5 4 3 2 LA 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 -2 -3 -4 8 7 6 -5 --68 -7 -8
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