The wind-chill index W is the perceived temperature when the actual temperature is T and the wind speed is v, so we can write W= f(T, v). Wind speed (km/h) temperature ( 1) 20 30 40 T -10 - 18 -15 -24 <-20 -30 50 60 -20 -21 -22 -23 -27 -29 -30 -26 -33 <-25 -37 -39 -34 -35 -36 -41 -42 -43 70 -23 -30 -37 -44 (a) Estimate the values of f(-15, 50) and f(-15, 50). (Round your answers to two decimal places.) f-15, 50) f(-15, 50) What are the practical interpretations of these values? by about When the actual temperature is -15°C and the wind speed is 50 km/h, the apparent temperature ---Select--- ▾ When the actual temperature is -15°C and the wind speed is 50 km/h, the apparent temperature ---Select--- by about (b) In general, what can you say about the signs of Ow/OT and Ow/ov? For a fixed wind speed v, the values of the wind-chill index W-Select-as temperature T increases, so is-Select-- OW at ▼. °C for every degree that the actual temperature rises. °C for every km/h that the wind speed increases.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The wind-chill index W is the perceived temperature when the actual temperature is T and the wind speed is v, so we can write W= f(T, v).
Wind speed (km/h)
V 20 30 40 50 60
T
-10
-18 -20 -21 -22 -23 -23
-24 -26 -27
-29 -30
-30
-30 -33
<-25 -37 -39
-15
<-20
70
-34 -35 -36
-41 -42 -43 -44
-37
(a) Estimate the values of f(-15, 50) and f(-15, 50). (Round your answers to two decimal places.)
f-15, 50)
f(-15, 50)
What are the practical interpretations of these values?
by about
When the actual temperature is -15°C and the wind speed is 50 km/h, the apparent temperature --Select--- ▼
When the actual temperature is -15°C and the wind speed is 50 km/h, the apparent temperature ---Select--- ▾
by about
(b) In general, what can you say about the signs of Ow/OT and Ow/ov?
For a fixed wind speed v, the values of the wind-chill index W-Select-
(c) What appears to be the value of the following limit?
aw
lim
v00 av
as temperature T increases, so is --Select--- .
OW
aT
For a fixed temperature T, the values of W decrease (or remain constant) as v --Select--- ▾
50
aw
av
is --Select-.
°C for every degree that the actual temperature rises.
°C for every km/h that the wind speed increases.
Transcribed Image Text:The wind-chill index W is the perceived temperature when the actual temperature is T and the wind speed is v, so we can write W= f(T, v). Wind speed (km/h) V 20 30 40 50 60 T -10 -18 -20 -21 -22 -23 -23 -24 -26 -27 -29 -30 -30 -30 -33 <-25 -37 -39 -15 <-20 70 -34 -35 -36 -41 -42 -43 -44 -37 (a) Estimate the values of f(-15, 50) and f(-15, 50). (Round your answers to two decimal places.) f-15, 50) f(-15, 50) What are the practical interpretations of these values? by about When the actual temperature is -15°C and the wind speed is 50 km/h, the apparent temperature --Select--- ▼ When the actual temperature is -15°C and the wind speed is 50 km/h, the apparent temperature ---Select--- ▾ by about (b) In general, what can you say about the signs of Ow/OT and Ow/ov? For a fixed wind speed v, the values of the wind-chill index W-Select- (c) What appears to be the value of the following limit? aw lim v00 av as temperature T increases, so is --Select--- . OW aT For a fixed temperature T, the values of W decrease (or remain constant) as v --Select--- ▾ 50 aw av is --Select-. °C for every degree that the actual temperature rises. °C for every km/h that the wind speed increases.
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