7. 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 Table 4. Wind speed (knots) (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 behavior of this function. (c) What is the meaning of the function h = f(v, 30)? Describe the behavior of this function. V 10 15 20 30 40 50 60 t 5 2 4 5 9 14 19 24 10 2 4 7 13 21 29 37 Table 4 Duration (hours) 15 2 5 8 16 25 36 47 20 2 5 8 17 28 40 54 30 2 5 9 18 40 62 2 OF 5 9 19 31 45 48 33 67 50 2 5 9 19 33 50 69 138329

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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Question
7
able compiled
stration.
on
70
83
93
106
124
144
caning?
80, h)
nese two
function P
ions of
5) and K is
(120, 20)
6. The wind-chill index W discussed in Example 2 has been)
modeled by the following function:
W(T, v)
13.12 +0.6215T - 11.370.16 + 0.3965Tv0.16
Check to see how closely this model agrees with the values in
Table 1 for a few values of T and v.
7. 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 Table 4.
Wind speed (knots)
(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 behavior of this function.
(c) What is the meaning of the function h = f(v, 30)?
Describe the behavior of this function.
V
10
15
20
30
40
50
60
t
5
2
4
10
14
19
24
2
4
5
9 13
7
21
29
37
area?
Table 4
Duration (hours)
15
2
5
8
16
25
201 30
2
5
8
17
28
36 40
47
54
2
5
9
18
40
2
5
9
19
31
45 48
62
33
67
50
2
5
9
19
33
50
69
8. A company makes three sizes of cardboard boxes: small,
medium, and large. It costs $2.50 to make a small box,
Transcribed Image Text:able compiled stration. on 70 83 93 106 124 144 caning? 80, h) nese two function P ions of 5) and K is (120, 20) 6. The wind-chill index W discussed in Example 2 has been) modeled by the following function: W(T, v) 13.12 +0.6215T - 11.370.16 + 0.3965Tv0.16 Check to see how closely this model agrees with the values in Table 1 for a few values of T and v. 7. 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 Table 4. Wind speed (knots) (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 behavior of this function. (c) What is the meaning of the function h = f(v, 30)? Describe the behavior of this function. V 10 15 20 30 40 50 60 t 5 2 4 10 14 19 24 2 4 5 9 13 7 21 29 37 area? Table 4 Duration (hours) 15 2 5 8 16 25 201 30 2 5 8 17 28 36 40 47 54 2 5 9 18 40 2 5 9 19 31 45 48 62 33 67 50 2 5 9 19 33 50 69 8. A company makes three sizes of cardboard boxes: small, medium, and large. It costs $2.50 to make a small box,
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