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. Wave height as a function of wind speed and duration Duration (hours) Wind speed (knots) V 10 15 20 30 40 50 60 t 5 2 4 5 9 10 15 2 4 7 2 14 21 5 8 2 3 20 30 40 2 5 24 37 47 8 25 28 13 16 17 18 19 29 36 40 54 2 2 5 5 9 5 (a) What is the value of f(30, 15)? What is its meaning? According to the table, f(30, 15) = feet. 50 62 2 5 9 9 31 33 33 19 19 45 48 50 67 69 which means that if a 30 knot wind has been blowing in the open sea for 15 hours, it will create waves with estimated heights of (b) What is the meaning of the function of h = f(15, t)? Describe the behavior of this function. Owe fix v and t, resulting in a constant value. We fix v = 15 and allow t to vary, resulting in an equation of one variable. We fix t = 15 and allow v to vary, resulting in an equation of one variable. Owe allow v and t to vary, resulting in a function of two variables. (c) What is the meaning of the function h = f(v, 15)? Describe the behavior of this function. Owe fix v and t, resulting in a constant value. Owe fix v = 15 and allow t to vary, resulting in an equation of one variable. Owe fix t = 15 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.
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. Wave height as a function of wind speed and duration Duration (hours) Wind speed (knots) V 10 15 20 30 40 50 60 t 5 2 4 5 9 10 15 2 4 7 2 14 21 5 8 2 3 20 30 40 2 5 24 37 47 8 25 28 13 16 17 18 19 29 36 40 54 2 2 5 5 9 5 (a) What is the value of f(30, 15)? What is its meaning? According to the table, f(30, 15) = feet. 50 62 2 5 9 9 31 33 33 19 19 45 48 50 67 69 which means that if a 30 knot wind has been blowing in the open sea for 15 hours, it will create waves with estimated heights of (b) What is the meaning of the function of h = f(15, t)? Describe the behavior of this function. Owe fix v and t, resulting in a constant value. We fix v = 15 and allow t to vary, resulting in an equation of one variable. We fix t = 15 and allow v to vary, resulting in an equation of one variable. Owe allow v and t to vary, resulting in a function of two variables. (c) What is the meaning of the function h = f(v, 15)? Describe the behavior of this function. Owe fix v and t, resulting in a constant value. Owe fix v = 15 and allow t to vary, resulting in an equation of one variable. Owe fix t = 15 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.
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: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.
Wave height as a function of wind speed and duration
Duration (hours)
Wind
speed
(knots)
V
10
15
20
30
40
50
60
t
5
2
4
5
10 15 20 30 40 50
9
247
2 2
24 37
500
8
5
8
2
47 54
5
9
2 2
13 16 17 18
14 21 25 28 31 33 33
19 29 36 40 45 48 50
(a) What is the value of f(30, 15)? What is its meaning?
According to the table, f(30, 15) =
feet.
5
5
9 9
19 19
62 67 69
which means that if a 30 knot wind has been blowing in the open sea for 15 hours, it will create waves with estimated heights of
(b) What is the meaning of the function of h = f(15, t)? Describe the behavior of this function.
Owe fix v and t, resulting in a constant value.
We fix v = 15 and allow t to vary, resulting in an equation of one variable.
We fix t = 15 and allow v to vary, resulting in an equation of one variable.
Owe allow v and t to vary, resulting in a function of two variables.
(c) What is the meaning of the function h = f(v, 15)? Describe the behavior of this function.
Owe fix v and t, resulting in a constant value.
O we fix v = 15 and allow t to vary, resulting in an equation of one variable.
We fix t = 15 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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