
Calculus: Early Transcendentals
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ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Transcribed Image Text:mar...
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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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