Wave height as a function of wind speed and duration Duration (hours) Wind speed (knots) > 10 15 20 30 40 50 60 t 5 AN 10 2 2222 4 4 55 5 5 15 20 30 40 50 2 2 (a) What is the value of f(30, 20)? What is its meaning? According to the table, f(30, 20) = feet. 5 9 9 13 16 17 18 19 19 14 21 25 28 31 33 33 19 29 36 40 45 48 50 47 54 24 37 62 67 69 , which means that if a 30 knot wind has been blowing in the open sea for 20 hours, it will create waves with estimated heights of (b) What is the meaning of the function of h = f(50, t)? Describe the behavior of this function. We fix v and resulting in a constant value. We fix v = 50 and allow t to vary, resulting in an equation of one variable. We fix t = 50 and allow v to vary, resulting in an equation of one variable. 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, 50)? Describe the behavior of this function. We fix v and t, resulting in a constant value. We fix v = 50 and allow t to vary, resulting in an equation of one variable. We fix t = 50 and allow v to vary, resulting in an equation of one variable. We allow y and t to vary, resulting in a function of two variables.
Wave height as a function of wind speed and duration Duration (hours) Wind speed (knots) > 10 15 20 30 40 50 60 t 5 AN 10 2 2222 4 4 55 5 5 15 20 30 40 50 2 2 (a) What is the value of f(30, 20)? What is its meaning? According to the table, f(30, 20) = feet. 5 9 9 13 16 17 18 19 19 14 21 25 28 31 33 33 19 29 36 40 45 48 50 47 54 24 37 62 67 69 , which means that if a 30 knot wind has been blowing in the open sea for 20 hours, it will create waves with estimated heights of (b) What is the meaning of the function of h = f(50, t)? Describe the behavior of this function. We fix v and resulting in a constant value. We fix v = 50 and allow t to vary, resulting in an equation of one variable. We fix t = 50 and allow v to vary, resulting in an equation of one variable. 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, 50)? Describe the behavior of this function. We fix v and t, resulting in a constant value. We fix v = 50 and allow t to vary, resulting in an equation of one variable. We fix t = 50 and allow v to vary, resulting in an equation of one variable. We allow y and t to vary, resulting in a function of two variables.
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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Transcribed Image Text:Wave height as a function of wind speed and duration
Duration (hours)
Wind
speed
(knots)
V
10
15
20
30
40
50
60
5
2
4
5
10
14
2
4
7
9 13
15
2
5
8
16
21 25
19 29 36
24 37 47
20 30 40 50
2
5 5
8
17
28
40
54
(a) What is the value of f(30, 20)? What is its meaning?
According to the table, f(30, 20) =
feet.
2
I
9°
18
31
45
62
2
LO
5
9
33
48
2
19 19
67
5
9
33
50
69
which means that if a 30 knot wind has been blowing in the open sea for 20 hours, it will create waves with estimated heights of
(b) What is the meaning of the function of h = f(50, t)? Describe the behavior of this function.
We fix v and t, resulting in a constant value.
We fix v = 50 and allow t to vary, resulting in an equation of one variable.
We fix t = 50 and allow v to vary, resulting in an equation of one variable.
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, 50)? Describe the behavior of this function.
We fix v and t, resulting in a constant value.
We fix v = 50 and allow t to vary, resulting in an equation of one variable.
We fix t = 50 and allow v to vary, resulting in an equation of one variable.
We allow v and t to vary, resulting in a function of two variables.
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