The function s(t) describes the motion of a particle along a line. s(t) = t3 − 7t2 + 6t (a) Find the velocity function of the particle at any time t ≥ 0. v(t) = (b) Identify the time intervals on which the particle is moving in a positive direction. (Enter your answer using interval notation.) (c) Identify the time intervals on which the particle is moving in a negative direction. (Enter your answer using interval notation.)
The function s(t) describes the motion of a particle along a line. s(t) = t3 − 7t2 + 6t (a) Find the velocity function of the particle at any time t ≥ 0. v(t) = (b) Identify the time intervals on which the particle is moving in a positive direction. (Enter your answer using interval notation.) (c) Identify the time intervals on which the particle is moving in a negative direction. (Enter your answer using interval notation.)
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 56E: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream...
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The function s(t) describes the motion of a particle along a line.
s(t) = t3 − 7t2 + 6t
(a) Find the velocity function of the particle at any time t ≥ 0.
v(t) =
(b) Identify the time intervals on which the particle is moving in a positive direction. (Enter your answer using interval notation.)
(c) Identify the time intervals on which the particle is moving in a negative direction. (Enter your answer using interval notation.)
(d) Identify the time(s) at which the particle changes direction. (Enter your answers as a comma-separated list.)
t =
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