1. The wave heights h in the open sea depends 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 Table 1. (a) What is the value of f(40,15) ? What is its meaning? (b) What is the meaning of the function h = f(30, t) ? Describe the behaviour of the function. (c) What is the meaning of the function h = f(v, 30)? Describe the behaviour of the function. Table 1 Duration (hours) 10 15 20 30 40 50 10 2 2 2 15 4 4 5 5 5 20 5 7 8 8 9 Wind Speed (Knots) 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 9, 2. 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. The wave heights h in the open sea depends 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 Table 1.
(a) What is the value of f(40,15) ? What is its meaning?
(b) What is the meaning of the function h = f(30, t) ?
Describe the behaviour of the function.
(c) What is the meaning of the function h = f(v, 30)?
Describe the behaviour of the function.
Table 1
Duration (hours)
5
10
15
20
30
40
50
10
2
2
2
15
4
4
5
Wind Speed (Knots)
20
5
7
8
9.
9.
6.
30
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
2.
2.
00
2.
2.
Transcribed Image Text:1. The wave heights h in the open sea depends 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 Table 1. (a) What is the value of f(40,15) ? What is its meaning? (b) What is the meaning of the function h = f(30, t) ? Describe the behaviour of the function. (c) What is the meaning of the function h = f(v, 30)? Describe the behaviour of the function. Table 1 Duration (hours) 5 10 15 20 30 40 50 10 2 2 2 15 4 4 5 Wind Speed (Knots) 20 5 7 8 9. 9. 6. 30 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 2. 2. 00 2. 2.
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