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. (a) What is the value of f(40, 15)? What is its meaning? f(30, 1)? (b) What is the meaning of the function h = 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 t 30 40 50 60 5 2 4 5 9 14 19 24 10 2 4 7 13 21 29 37 Table 4 Duration (hours) 15 20 2 5 8 16 25 36 47 2 5 8 17 28 40 54 30 2 5 9 18 31 45 62 40 2 5 9 19 33 48 67 50 2 5 9 19 33 50 69 ******

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

7

7
L
idex, for short) is the
temperature is T and
I=f(T, h). The fol-
om a table compiled
Administration.
a function
dity
60
82
35
90
100
114
25
132
70
83
93
function
106
tis its meaning?
0?
124
$?
ons I = f(80, h)
avior of these two
144
roduction function P
on in millions of
thousands) and K is
s). Find P(120, 20)
where w is the weight (in pounds), h is the height (in inches),
and S is measured in square feet.
(a) Find f(160, 70) and interpret it.
(b) What is your own surface area?
6. The wind-chill index W discussed in Example 2 has been
modeled by the following function:
Wind speed (knots)
W(T, v)
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.
its meaning?
(a) What is the value of f(40, 15)? What
(b) What is the meaning of the function h = f(30, t)?
Describe the behavior of this function.
V
(c) What is the meaning of the function h = f(v, 30)?
Describe the behavior of this function.
10
15
20
30
=
t
13.12 + 0.6215T - 11.370.16 + 0.3965Tv0.16
40
50
60
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
31
40
62
2
5
9
19
33
45 48
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,
C
Transcribed Image Text:7 L idex, for short) is the temperature is T and I=f(T, h). The fol- om a table compiled Administration. a function dity 60 82 35 90 100 114 25 132 70 83 93 function 106 tis its meaning? 0? 124 $? ons I = f(80, h) avior of these two 144 roduction function P on in millions of thousands) and K is s). Find P(120, 20) where w is the weight (in pounds), h is the height (in inches), and S is measured in square feet. (a) Find f(160, 70) and interpret it. (b) What is your own surface area? 6. The wind-chill index W discussed in Example 2 has been modeled by the following function: Wind speed (knots) W(T, v) 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. its meaning? (a) What is the value of f(40, 15)? What (b) What is the meaning of the function h = f(30, t)? Describe the behavior of this function. V (c) What is the meaning of the function h = f(v, 30)? Describe the behavior of this function. 10 15 20 30 = t 13.12 + 0.6215T - 11.370.16 + 0.3965Tv0.16 40 50 60 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 31 40 62 2 5 9 19 33 45 48 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, C
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,