d (t) = 6(1.490-). 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. Parti 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.
d (t) = 6(1.490-). 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. Parti 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
How do I do this parts
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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