The wave heights h in the open sea depend on the speed v of the wind and the length of time t that the wind has been blowing at that speed. Values of the function h =f(v,t), are recorded in feet in the following table. Use the table to find a linear approximation to the wave height function when v is near x knots and t is near 20 hours. Then estimate the wave heights when the wind has been blowing for 24 hours at y knots where x and y values given by above table. Wind speed (knots) 1 20 t 30 40 50 60 5 5 9 14 19 24 10 7 13 21 29 37 Duration (hours) 15 8 16 25 36 47 20 8 17 28 40 54 30 9 18 31 45 62 40 9 19 33 48 67 50 9 19 33 50 69
The wave heights h in the open sea depend on the speed v of the wind and the length of time t that the wind has been blowing at that speed. Values of the function h =f(v,t), are recorded in feet in the following table. Use the table to find a linear approximation to the wave height function when v is near x knots and t is near 20 hours. Then estimate the wave heights when the wind has been blowing for 24 hours at y knots where x and y values given by above table. Wind speed (knots) 1 20 t 30 40 50 60 5 5 9 14 19 24 10 7 13 21 29 37 Duration (hours) 15 8 16 25 36 47 20 8 17 28 40 54 30 9 18 31 45 62 40 9 19 33 48 67 50 9 19 33 50 69
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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Transcribed Image Text:The wave heights h in the open sea depend on the speed v of the wind and the length of time t that
the wind has been blowing at that speed. Values of the function h=f(v,t), are recorded in feet in the
following table. Use the table to find a linear approximation to the wave height function when v is
near x knots and t is near 20 hours. Then estimate the wave heights when the wind has been blowing
for 24 hours at y knots where x and y values given by above table.
Wind speed (knots)
V
20
t
30
40
50
60
5
5
9
14
19
24
10
7
13
21
29
37
Duration (hours)
15
8
16
25
36
47
20
8
17
28
40
54
30
9
18
31
45
62
40
9
19
33
48
67
50
9
19
33
50
69
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