Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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An object in rectilinear motion moves according to the position function s(t) = 6 - t2 (s in centimeters and t in seconds). Approximate the velocity of the object at time to = 7 seconds by letting At
first equal 0.1 second, then 0.01 second, and finally 0.001 second. Organize the results in a table. (Round your answers to three decimal places.)
%3D
%3D
As
At
At
0.1
-13.9
0.01
-13.99
0.001
-13.999
What limit does the velocity appear to approaching? (Round your answer to the nearest integer.)
-14
cm/s
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Transcribed Image Text:An object in rectilinear motion moves according to the position function s(t) = 6 - t2 (s in centimeters and t in seconds). Approximate the velocity of the object at time to = 7 seconds by letting At first equal 0.1 second, then 0.01 second, and finally 0.001 second. Organize the results in a table. (Round your answers to three decimal places.) %3D %3D As At At 0.1 -13.9 0.01 -13.99 0.001 -13.999 What limit does the velocity appear to approaching? (Round your answer to the nearest integer.) -14 cm/s
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