Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - 1.1 Exercises: 9

Answer

A) 10.417, 9.145 B) Increasing number of rectangles

Work Step by Step

To find area under the graph, you must add the area of each rectangle. 1. Find the height of each rectangle by substituting in for x, and base is only 1, so height=area. $\frac{5}{1}$+$\frac{5}{2}$+$\frac{5}{3}$+$\frac{5}{4}$$\approx$10.417 2.Do the same for other graph, but multiply sum by 1/2 because width is 1/2 $\frac{1}{2}$($\frac{5}{1}$+$\frac{5}{1.5}$+$\frac{5}{2}$+$\frac{2.5}{3}$+$\frac{5}{3,5}$+$\frac{5}{4}$+$\frac{5}{4.5}$)$\approx$ 9.145
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