Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 3 - Differentiation - 3.4 Rates of Change - Exercises - Page 129: 16

Answer

The voltage changes more slowly as time goes on.

Work Step by Step

The tangent line pass through the points (10, 3) and (30, 4) The rate of change of voltage at t = 20 seconds is The rate of change of voltage = $\frac{4-3}{30-10}$ = $0.05$ $V/s$ The tangent lines to it grow shallower, indicating that the voltage changes more slowly as time goes on.
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