What is the meaning of the function W = f(-15, v)? Describe the behavior of this function. The function W = f(-15, v) means that we fix T at and allow v to vary, resulting in a function of one variable. In other words, the function gives wind-chill index values for different wind speeds when the temperature is °C. From the table (look at the row corresponding to T = -15), the function ---Select--- and appears to approach a constant value as v increases. What is the meaning of the function W = f(T, 80)? Describe the behavior of this function. The function W = f(T, 80) means that we fix v at and allow T to vary, again giving a function of one variable. In other words, the function gives wind-chill index values for different temperatures when the wind speed is km/h. From the table (look at the column corresponding to v = 80), the function ---Select--- almost linearly as T increases.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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In this example we consider the function W= f(T,v) where W is the wind-chill index, T is the actual temperature, and v is the wind speed. A numerical representation is given in this table. Need help with d and e
net/scalcet7/14-1-table-01.gif
rtainment
Actual temperature (°C)
T
V
Wind-chill index as a function of air temperature and wind speed
Wind speed (km/h)
5
10
5
4
0 -2 -3
رزا
-5 -7
-10
-13
-15 - 19
-20
-24
-25
-30
-30
-36
-39
-35
-41 -45
-40
-47
-51
15
2
-4
-9 -11 -12
-15
-17
-18
-21 -23
-24
-27 -29
-30
-37
-43
-49
-56
-33-35
a
20
-41
-48
-54
1
5
25
1
-6
-12
19
-25
-32
-38
|-44
-51
-57
30
40 50 60 70 80
0
-1
-1
-2
-2
-3
-6
-7 -8
-9
-9 -10
-13 -14 -15 -16
-16 -17
-20
-21
-22
-23
-23
-24
-27
-29
-30
-30 -31
-34
-35
-36
-37
-38
-41
-42
-43 -44
-45
-48
-49
-50
-51
-52
-54
-56
-57 -58
-60
-61
-65
-67
-26
-33
-39
-46
-52
-59
-63-64
ww
12 L
Transcribed Image Text:net/scalcet7/14-1-table-01.gif rtainment Actual temperature (°C) T V Wind-chill index as a function of air temperature and wind speed Wind speed (km/h) 5 10 5 4 0 -2 -3 رزا -5 -7 -10 -13 -15 - 19 -20 -24 -25 -30 -30 -36 -39 -35 -41 -45 -40 -47 -51 15 2 -4 -9 -11 -12 -15 -17 -18 -21 -23 -24 -27 -29 -30 -37 -43 -49 -56 -33-35 a 20 -41 -48 -54 1 5 25 1 -6 -12 19 -25 -32 -38 |-44 -51 -57 30 40 50 60 70 80 0 -1 -1 -2 -2 -3 -6 -7 -8 -9 -9 -10 -13 -14 -15 -16 -16 -17 -20 -21 -22 -23 -23 -24 -27 -29 -30 -30 -31 -34 -35 -36 -37 -38 -41 -42 -43 -44 -45 -48 -49 -50 -51 -52 -54 -56 -57 -58 -60 -61 -65 -67 -26 -33 -39 -46 -52 -59 -63-64 ww 12 L
T = -29.87
(d) What is the meaning of the function W = f(-15, v)? Describe the behavior of this function.
The function W = f(-15, v) means that we fix T at
and allow v to vary, resulting in a function of one
variable. In other words, the function gives wind-chill index values for different wind speeds when the temperature is
°C. From the table (look at the row corresponding to T = -15), the function ---Select--- and
appears to approach a constant value as v increases.
°C
(e) What is the meaning of the function W = f(T, 80)? Describe the behavior of this function.
The function W = f(T, 80) means that we fix v at
and allow T to vary, again giving a function of one
variable. In other words, the function gives wind-chill index values for different temperatures when the wind speed is
km/h. From the table (look at the column corresponding to v = 80), the function ---Select--- almost
linearly as T increases.
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9/26/2022
Transcribed Image Text:T = -29.87 (d) What is the meaning of the function W = f(-15, v)? Describe the behavior of this function. The function W = f(-15, v) means that we fix T at and allow v to vary, resulting in a function of one variable. In other words, the function gives wind-chill index values for different wind speeds when the temperature is °C. From the table (look at the row corresponding to T = -15), the function ---Select--- and appears to approach a constant value as v increases. °C (e) What is the meaning of the function W = f(T, 80)? Describe the behavior of this function. The function W = f(T, 80) means that we fix v at and allow T to vary, again giving a function of one variable. In other words, the function gives wind-chill index values for different temperatures when the wind speed is km/h. From the table (look at the column corresponding to v = 80), the function ---Select--- almost linearly as T increases. Need Help? Read It Watch It r 11:32 PM 9/26/2022
Expert Solution
Step 1

(d) 

The function W=f(-15,v) means that we fix T at -15 and allow v to vary, resulting in a function of one variable. On other words the function gives wind- chill index values for different wind speeds when the temperature is -15°C.

From the table the function decreases and appears to approach a constant value as v increases.

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