Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 5 - Section 5.1 - Areas and Distances - 5.1 Exercises - Page 377: 20

Answer

a. left endpoints: $\approx 24.2844 $ people right endpoints: $\approx 28.2296 $ people b. The x-axis of the curve would be the date, while the y-axis would be the deaths per day. Thus, when taking the area under this curve, one would get the number of people who died from SARS in a certain period of time.

Work Step by Step

Since the table records data taken from two-week intervals, you know that the length of each approximating rectangle and 14 days (2 weeks). a. left endpoints: $$ 14* (0.0079+ 0.0638+ 0.1944+0.4435+0.5620+0.4630)\approx 24.2844$$ You ignore the last data point, as you're taking rectangles starting from the first data point. right endpoints: $$ 14* (0.0638+ 0.1944+0.4435+0.5620+0.4630 + 0.2897)\approx 24.2844$$You ignore the first data point, as you're taking rectangles starting from the last data point. b. Imagine the "date" column as being the x-axis, and the "deaths per day" column as being the y-axis.
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