A large puddle in a field has waves in it on a windy day. The data below gives the depth "d" of the water (in cm), at time "t" (in seconds). The data has been presented as a series of ordered pairs so that you can cut and paste them directly into Desmos. (0,11.6).(0.2,14.0),(0.4,16.2),(0.7,17.7),(1.0,16.2).(1.2.14.0).(1.4,11.6).(1.6.9.5), (1.85,8.5),(2.1,9.5).(2.3,11.6).(2.5,14.0), (2.8,17.0).(3.0,17.7).(3.2,17.0).(3.5.14.0), (3.7,11.6),(3.9.9.5),(4.15,8.5),(4.3,8.8),(4.5,10.4),(4.8.14.0).(5.0.16.2) a) Use this to determine a function for d(t). b) Include a screenshot clearly showing your model and the data points.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A large puddle in a field has waves in it on a windy day.
The data below gives the depth "d" of the water (in cm), at time "t" (in seconds).
The data has been presented as a series of ordered pairs so that you can cut and
paste them directly into Desmos.
(0,11.6).(0.2,14.0), (0.4,16.2), (0.7,17.7),(1.0,16.2).(1.2.14.0).(1.4.11.6).(1.6.9.5),
(1.85,8.5).(2.1,9.5),(2.3,11.6),(2.5,14.0), (2.8,17.0),(3.0,17.7).(3.2,17.0), (3.5.14.0).
(3.7,11.6).(3.9.9.5).(4.15,8.5).(4.3,8.8),(4.5,10.4),(4.8.14.0).(5.0.16.2)
a) Use this to determine a function for d(t).
b) Include a screenshot clearly showing your model and the data points.
Make sure to modify your scales appropriately to show the data.
Transcribed Image Text:A large puddle in a field has waves in it on a windy day. The data below gives the depth "d" of the water (in cm), at time "t" (in seconds). The data has been presented as a series of ordered pairs so that you can cut and paste them directly into Desmos. (0,11.6).(0.2,14.0), (0.4,16.2), (0.7,17.7),(1.0,16.2).(1.2.14.0).(1.4.11.6).(1.6.9.5), (1.85,8.5).(2.1,9.5),(2.3,11.6),(2.5,14.0), (2.8,17.0),(3.0,17.7).(3.2,17.0), (3.5.14.0). (3.7,11.6).(3.9.9.5).(4.15,8.5).(4.3,8.8),(4.5,10.4),(4.8.14.0).(5.0.16.2) a) Use this to determine a function for d(t). b) Include a screenshot clearly showing your model and the data points. Make sure to modify your scales appropriately to show the data.
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