The given function represents the position of a particle traveling along a horizontal line. s(t) = 2t3 - 3t2 - 36t + 7 for t 20 (a) Find the velocity and acceleration functions. v(t) = a(t) = (b) Determine the time intervals when the object is slowing down or speeding up. (Enter your answers using interval notation.) slowing down speeding up
The given function represents the position of a particle traveling along a horizontal line. s(t) = 2t3 - 3t2 - 36t + 7 for t 20 (a) Find the velocity and acceleration functions. v(t) = a(t) = (b) Determine the time intervals when the object is slowing down or speeding up. (Enter your answers using interval notation.) slowing down speeding up
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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![The given function represents the position of a particle traveling along a horizontal line.
s(t) = 2t3 - 3t2 - 36t + 7 for t 2 o
(a) Find the velocity and acceleration functions.
v(t) =
a(t)
(b) Determine the time intervals
hen the object is slowing down or speeding up. (Enter your answers using interval notation.)
slowing down
speeding up](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0cd85eb8-5592-4bd0-9b53-cd63c8c5d902%2F74fb51e2-589c-48b2-b4b5-62c4d600cab3%2Fcz24fee_processed.png&w=3840&q=75)
Transcribed Image Text:The given function represents the position of a particle traveling along a horizontal line.
s(t) = 2t3 - 3t2 - 36t + 7 for t 2 o
(a) Find the velocity and acceleration functions.
v(t) =
a(t)
(b) Determine the time intervals
hen the object is slowing down or speeding up. (Enter your answers using interval notation.)
slowing down
speeding up
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