Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 9 - Review - True-False Quiz - Page 656: 8

Answer

True

Work Step by Step

True. The slope of the curve at $(3,1)$ is given by $y'(3)$. Substituting the point $(x,y)=(3,1)$ into the differential equation, $(2\cdot 3-1)y'(1)=3+2\cdot 1$ $5y'(1)=5$ $y'(1)=1$ Thus, that the slope of the curve at $(3,1)$ is 1 is true.
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