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9500 9000 0 a. Fi

9500 9000 0 a. Fi

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Elevation vs. Distance The following graph, obtained from GPS data, shows the elevation of a hiker as a function of the distance d from the starting point of the trail.
Transcribed Image Text:Elevation vs. Distance The following graph, obtained from GPS data, shows the elevation of a hiker as a function of the distance d from the starting point of the trail.
EA 13,000 12,500+ 12,000+ 11,500+ 11,000+ 10,500+ 10,000 9500+ 9000 0 P (5, 12,357) (4,11,946) A (1,9954) + 2 (2, 10,625) B (3, 11,302) 4 (7,12,421) Q (6, 12,237) 5 7 a. Find the slope of the secant line that passes through points A and B. Interpret your answer as an average rate of change over the interval 1 < d≤ 3. b. Repeat the procedure outlined in part (a) for the secant line that passes through points P and Q. c. Notice that the elevation function is nearly constant over the segment of the trail from mile d = 4.5 to mile d = 5. Give a plausible explanation for the horizontal line segment.
Transcribed Image Text:EA 13,000 12,500+ 12,000+ 11,500+ 11,000+ 10,500+ 10,000 9500+ 9000 0 P (5, 12,357) (4,11,946) A (1,9954) + 2 (2, 10,625) B (3, 11,302) 4 (7,12,421) Q (6, 12,237) 5 7 a. Find the slope of the secant line that passes through points A and B. Interpret your answer as an average rate of change over the interval 1 < d≤ 3. b. Repeat the procedure outlined in part (a) for the secant line that passes through points P and Q. c. Notice that the elevation function is nearly constant over the segment of the trail from mile d = 4.5 to mile d = 5. Give a plausible explanation for the horizontal line segment.
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