20. 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 40 knots and t is near 20 hours. Then estimate the wave heights when the wind has been blowing for 24 hours at 43 knots. Duration (hours) t 10 15 20 30 40 50 20 5 8 8 9 9 9 30 9 13 16 17 18 19 19 40 14 21 25 28 31 33 33 50 19 29 36 40 45 48 50 60 24 37 47 54 62 67 69 Wind speed (knots)
20. 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 40 knots and t is near 20 hours. Then estimate the wave heights when the wind has been blowing for 24 hours at 43 knots. Duration (hours) t 10 15 20 30 40 50 20 5 8 8 9 9 9 30 9 13 16 17 18 19 19 40 14 21 25 28 31 33 33 50 19 29 36 40 45 48 50 60 24 37 47 54 62 67 69 Wind speed (knots)
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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20) 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 40 knots and t is near 20 hours. Then estimate the wave heights when the wind has been blowing for 24 hours at 43 knots.
Transcribed Image Text:20. 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 40 knots and t is near 20 hours. Then estimate the
wave heights when the wind has been blowing for 24 hours
at 43 knots.
Duration (hours)
t
5
15
20
30
40
50
V
8
8
9
9
9
17
18
19
19
28 31
33 33
40
45 48 50
54 62
67
69
Wind speed (knots)
20
30
40
50
60
5
9
14
19
24
10
7
13
16
21 25
29 36
37
47
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