Wind speed (km/h) 10 15 20 25 30 40 50 60 70 80 T. 3. -1 -1 -2 -2 -3 -3 -4 -5 -6 -6 -7 -8 -9 -9 -10 -5 -7 --9 -11 -12 12 -13 -14 -15 -16 16 -17 10 -13 15 -17 18 -19 20 -21 -22 -23 -23 -24 -19 -21 27 -29 -30 -32 -33 15 -23 -24 - 25 -26 -27 -29 -30 -30 -31 -20 -24 -34 -35 -36 -37 -38 -25 -30 -33 -35 -37 -38 -39 -41 -42 -43 -44 -45 -30 -36 -39 -41 -43 -44 -46 -48 -49 -50 -51 -52 -35 -41 -45 -48 -49 -51 -52 -54 -56 -57 -58 -60 -40 -47 -51 -54 -56 -57 -59 -61 -63 -64 -65 -67 Actual temperature ("C) 2.

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 Example 2 we considered 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 Table 1 on page 889.


(a) What is the value of f(−15.40)? What is its meaning?


(b) Describe in words the meaning of the question “For what value of o is f(−20, v) = −30?” Then answer the question.


(c) Describe in words the meaning of the question “For what value of T is f(T, 20) = −49?” Then answer the question.


(d) What is the meaning of the function W = f(−5, v)? Describe the behavior of this function.


(e) What is the meaning of the function W = f(T, 50)? Describe the behavior of this function.

Table 1 Wind-chill index as a function of air temperature and wind speed

 

Wind speed (km/h)
10
15
20
25
30
40
50
60
70
80
T.
3.
-1
-1
-2
-2
-3
-3
-4
-5
-6
-6
-7
-8
-9
-9
-10
-5
-7
--9 -11 -12
12 -13 -14 -15
-16
16 -17
10
-13
15 -17
18
-19
20
-21
-22
-23
-23
-24
-19 -21
27 -29 -30 -32 -33
15
-23
-24 - 25
-26
-27 -29
-30 -30
-31
-20
-24
-34 -35
-36 -37 -38
-25 -30 -33 -35 -37 -38 -39 -41
-42 -43 -44 -45
-30
-36 -39
-41
-43 -44 -46 -48 -49 -50 -51
-52
-35 -41
-45 -48 -49 -51
-52 -54 -56 -57 -58 -60
-40
-47 -51 -54 -56 -57 -59 -61 -63 -64 -65 -67
Actual temperature ("C)
2.
Transcribed Image Text:Wind speed (km/h) 10 15 20 25 30 40 50 60 70 80 T. 3. -1 -1 -2 -2 -3 -3 -4 -5 -6 -6 -7 -8 -9 -9 -10 -5 -7 --9 -11 -12 12 -13 -14 -15 -16 16 -17 10 -13 15 -17 18 -19 20 -21 -22 -23 -23 -24 -19 -21 27 -29 -30 -32 -33 15 -23 -24 - 25 -26 -27 -29 -30 -30 -31 -20 -24 -34 -35 -36 -37 -38 -25 -30 -33 -35 -37 -38 -39 -41 -42 -43 -44 -45 -30 -36 -39 -41 -43 -44 -46 -48 -49 -50 -51 -52 -35 -41 -45 -48 -49 -51 -52 -54 -56 -57 -58 -60 -40 -47 -51 -54 -56 -57 -59 -61 -63 -64 -65 -67 Actual temperature ("C) 2.
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