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1 sec. and Find the average rate of change of d(t) between the values (a) t = t = 3 sec., between (b) t = 2 sec. and t = 3 sec., between (c) t = 2.5 sec. and t = 3 sec., and between (d) t = 2.9 sec. and t = 3 sec.

1 sec. and Find the average rate of change of d(t) between the values (a) t = t = 3 sec., between (b) t = 2 sec. and t = 3 sec., between (c) t = 2.5 sec. and t = 3 sec., and between (d) t = 2.9 sec. and t = 3 sec.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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d (t) = 6(1.490-¹). Notice that this equation suggests that at t = 0, the rim was 6 inches above the ground. Our goal is to estimate the rate of change of d(t) at precisely the time t = 3 seconds. This will be accomplished by making use of the average rate of change and differ- ence quotient concepts that were previously defined. Part I Find the average rate of change of d(t) between the values (a) t = 1 sec. and t = 3 sec., between (b) t = 2 sec. and t = 3 sec., between (c) t = 2.5 sec. and t = 3 sec., and between (d) t = 2.9 sec. and t = 3 sec. Part 2 What do the average rates of change found in Exercise 3 represent with respect to the rim of the tire and its proximity to the street? Part 3 We want to find out how fast the rim of the tire is approaching the street at the instant t = 3 sec. Discuss how using the average rate of change is an approxima- tion but not exact at the instant t = 3 sec.
Transcribed Image Text:d (t) = 6(1.490-¹). Notice that this equation suggests that at t = 0, the rim was 6 inches above the ground. Our goal is to estimate the rate of change of d(t) at precisely the time t = 3 seconds. This will be accomplished by making use of the average rate of change and differ- ence quotient concepts that were previously defined. Part I Find the average rate of change of d(t) between the values (a) t = 1 sec. and t = 3 sec., between (b) t = 2 sec. and t = 3 sec., between (c) t = 2.5 sec. and t = 3 sec., and between (d) t = 2.9 sec. and t = 3 sec. Part 2 What do the average rates of change found in Exercise 3 represent with respect to the rim of the tire and its proximity to the street? Part 3 We want to find out how fast the rim of the tire is approaching the street at the instant t = 3 sec. Discuss how using the average rate of change is an approxima- tion but not exact at the instant t = 3 sec.
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