mar... Entertainment 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 table below. Wind speed (knots) D t 10 15 20 30 40 50 60 5 2 4 5 9 14 19 24 10 2 4 TABLE 4 Duration (hours) 15 7 13 21 29 37 2 5 8 16 25 36 47 20 2 5 8 17 28 40 30 2 5 9 18 31 40 54 62 2 5 9 33 45 48 50 67 2 5 19 19 9 33 50 69 (a) What is the value of f(40, 20)? What is its meaning? According to the table, f(40, 20) = , which means that if a 40-knot wind has been blowing in the open feet. sea for 20 hours, it will create waves with estimated heights of (b) What is the meaning of the function of h = f(40, t)? Describe the behavior of this function. O We fix v and t, resulting in a constant value. 9:23 PM 9/26/2022
mar... Entertainment 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 table below. Wind speed (knots) D t 10 15 20 30 40 50 60 5 2 4 5 9 14 19 24 10 2 4 TABLE 4 Duration (hours) 15 7 13 21 29 37 2 5 8 16 25 36 47 20 2 5 8 17 28 40 30 2 5 9 18 31 40 54 62 2 5 9 33 45 48 50 67 2 5 19 19 9 33 50 69 (a) What is the value of f(40, 20)? What is its meaning? According to the table, f(40, 20) = , which means that if a 40-knot wind has been blowing in the open feet. sea for 20 hours, it will create waves with estimated heights of (b) What is the meaning of the function of h = f(40, t)? Describe the behavior of this function. O We fix v and t, resulting in a constant value. 9:23 PM 9/26/2022
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:mar...
Entertainment
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 table below.
Wind speed (knots)
D
t
10
15
20
30
40
50
60
5
2
4
5
9
14
19
24
10
2
4
TABLE 4
Duration (hours)
15
7
13
21
29
37
2
5
8
16
25
36
47
20
2
5
8
17
28
40
54
30
2
5
9
18
31
45
62
40
2
5
9
33
48
50
67
2
5
19 19
9
33
50
69
(a) What is the value of f(40, 20)? What is its meaning?
According to the table, f(40, 20) =
, which means that if a 40-knot wind has been blowing in the open
feet.
sea for 20 hours, it will create waves with estimated heights of
(b) What is the meaning of the function of h = f(40, t)? Describe the behavior of this function..
O We fix v and t, resulting in a constant value.
9:23 PM
9/26/2022
Transcribed Image Text:(b) What is the meaning of the function of h = f(40, t)? Describe the behavior of this function.
O We fix v and t, resulting in a constant value.
O We fix v = 40 and allow t to vary, resulting in an equation of one variable.
O We fix t = 40 and allow v to vary, resulting in an equation of one variable.
O We allow v and t to vary, resulting in a function of two variables.
(c) What is the meaning of the function h = f(v, 40)? Describe the behavior of this function.
O we fix v and t, resulting in a constant value.
O We fix v = 40 and allow t to vary, resulting in an equation of one variable.
O We fix t = 40 and allow v to vary, resulting in an equation of one variable.
O We allow v and t to vary, resulting in a function of two variables.
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