Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 2 - Limits - 2.1 The Idea of Limits - 2.1 Exercises - Page 59: 16

Answer

Conjecture: the instantaneous velocity at at t=2 is $10.4$ m/s.

Work Step by Step

(Table in the screenshot was set up using the calculator at desmos.com) Fill the table entries from left to right with 5.5, 7.95, 9.91, 10.351, 10.3951 The average velocity appears to approach $10.4$ m/s as the time interval gets shorter. Conjecture: the instantaneous velocity at at t=2 is $10.4$ m/s.
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