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a particle is moving on the x-axis with a velocity of v(t) = t^2 - 3t - 18. For what values of t > 0 is the particle’s speed increasing  (Answers is D but what are the steps)

a particle is moving on the x-axis with a velocity of v(t) = t^2 - 3t - 18. For what values of t > 0 is the particle’s speed increasing  (Answers is D but what are the steps)

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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a particle is moving on the x-axis with a velocity of v(t) = t^2 - 3t - 18. For what values of t > 0 is the particle’s speed increasing 

(Answers is D but what are the steps)

30 2. A particle is moving on the x-axis with a velocity of v(t) = t² – 3t – 18. For what values of t > 0 is the particle's speed increasing? A. 0<t< only А. B. t> 6 3 C. t> D. 0<t<andt > 6 only e the s f The graph ofg consists of arsemicircle and two line segments for -4 < x<4 as shown in the figure at right. What is the value of 4 2+ g(x)dx? -2 2.
Transcribed Image Text:30 2. A particle is moving on the x-axis with a velocity of v(t) = t² – 3t – 18. For what values of t > 0 is the particle's speed increasing? A. 0<t< only А. B. t> 6 3 C. t> D. 0<t<andt > 6 only e the s f The graph ofg consists of arsemicircle and two line segments for -4 < x<4 as shown in the figure at right. What is the value of 4 2+ g(x)dx? -2 2.
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