Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 13 - Section 13.5 - Areas - 13.5 Exercises - Page 938: 4

Answer

(a) (i) $87$, (ii) $71$ (b) overestimate (c) underestimate

Work Step by Step

(a) See figure for the configuration of rectangles. (i) $L_6=2(9+8.8+8.3+7.4+6+4)=87$ (ii) $R_6=2(8.8+8.3+7.4+6+4+1)=71$ (b) We can see that $L_6$ is an overestimate of the true area. (c) We can see that $R_6$ is an underestimate of the true area.
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