2. The position of a particle moving horizontally is given by s(t) = t³ − 6t² + 9t + 4, where s is in meters and t is in seconds.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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2. The position of a particle moving horizontally is given by
s(t) = t³ − 6t² + 9t + 4, where s is in meters and t is in seconds.
(a) Find the position of the particle at the instances when it is changing
direction.
(b) Determine all time interval(s) when the particle is speeding up.
2
Transcribed Image Text:2. The position of a particle moving horizontally is given by s(t) = t³ − 6t² + 9t + 4, where s is in meters and t is in seconds. (a) Find the position of the particle at the instances when it is changing direction. (b) Determine all time interval(s) when the particle is speeding up. 2
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