measured in hours. Determine the time intervals when the train is slowing down or speeding up. The train is speeding up on the interval(s): help (intervals) The train is slowing down on the interval(s): help (intervals)

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 position function \( s(t) = (t-1)^3 - 64(t-1) \) represents the position in miles of a freight train where east is the positive direction and \( t \geq 0 \) is measured in hours.

Determine the time intervals when the train is slowing down or speeding up.

The train is speeding up on the interval(s): [input box] help (intervals)

The train is slowing down on the interval(s): [input box] help (intervals)
Transcribed Image Text:The position function \( s(t) = (t-1)^3 - 64(t-1) \) represents the position in miles of a freight train where east is the positive direction and \( t \geq 0 \) is measured in hours. Determine the time intervals when the train is slowing down or speeding up. The train is speeding up on the interval(s): [input box] help (intervals) The train is slowing down on the interval(s): [input box] help (intervals)
Expert Solution
Step 1

Given: The position function is st=t-13-64t-1 where t0.

The objective is to find the interval when train is speeding up and down.

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