A pond is approximately circular, with a diameter of 400 feet. Starting at the center, the depth of the water is measured every 25 feet and recorded in the table . Use the regression capabilities of a graphing utility to find a quadratic model for the depths recorded in the table. Use the graphing utility to plot the depths and graph the model? (see the table and figure as atttached here).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A pond is approximately circular, with a diameter of 400 feet. Starting at the center, the depth of the water is measured every 25 feet and recorded in the table .

Use the regression capabilities of a graphing utility to find a quadratic model for the depths recorded in the table. Use the graphing utility to plot the depths and graph the model? (see the table and figure as atttached here).

0 25
50
Depth 20
19
19
75 100 | 125
Depth 17
15
14
150 | 175 200
Depth 10
Transcribed Image Text:0 25 50 Depth 20 19 19 75 100 | 125 Depth 17 15 14 150 | 175 200 Depth 10
20-
18-
16-
14-
12-
10-
8
4-
50
100 150 200
Distance from center
(in feet)
Transcribed Image Text:20- 18- 16- 14- 12- 10- 8 4- 50 100 150 200 Distance from center (in feet)
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