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 T'able 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 v 10 2 2 2 2 2 2 15 4 4 5 5 5 5 5 Wind Speed (Knots) 20 5 7 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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 24E
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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)
t
10
15
20
30
40
50
10
2 2
2
2
2
15
4
4
5
5
5
Wind Speed (Knots)
20
5
7
8
9
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
Transcribed Image Text: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) t 10 15 20 30 40 50 10 2 2 2 2 2 15 4 4 5 5 5 Wind Speed (Knots) 20 5 7 8 9 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
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