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) Actual temperature (°C) T -10 -15 -20 -25 V 20 30 40 50 60 70 -18 -20 -21 -22 -23 -23 -24 -26 -27 -29 -30 -30 -30 -33 -34 -35 -36 -37 -37 -39 -41 -42 -43 -44 (a) Estimate the values of f(-15, 40) and f(-15, 40). (Round your answers to two decimal places.) f(-15, 40) = -27 X f(-15, 40) What are the practical interpretations of these values? When the actual temperature is -15°C and the wind speed is 40 km/h, for every degree that the actual temperature rises the apparent temperatur rises ✔ by about -27 °C. x When the actual temperature is -15°C and the wind speed is 40 km/h, for every km/h that the wind speed increases the apparent temperature de by about -27 x °C.
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) Actual temperature (°C) T -10 -15 -20 -25 V 20 30 40 50 60 70 -18 -20 -21 -22 -23 -23 -24 -26 -27 -29 -30 -30 -30 -33 -34 -35 -36 -37 -37 -39 -41 -42 -43 -44 (a) Estimate the values of f(-15, 40) and f(-15, 40). (Round your answers to two decimal places.) f(-15, 40) = -27 X f(-15, 40) What are the practical interpretations of these values? When the actual temperature is -15°C and the wind speed is 40 km/h, for every degree that the actual temperature rises the apparent temperatur rises ✔ by about -27 °C. x When the actual temperature is -15°C and the wind speed is 40 km/h, for every km/h that the wind speed increases the apparent temperature de by about -27 x °C.
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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Transcribed Image Text:9:00 PM Tue Mar 7
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
T
-10
Actual
temperature -15
(°C)
-20
-25
40 50
-18 -20 -21
-22
webassign.net
60 70
-24 -26 -27 -29 -30
-23 -23
-30 -33 -34 -35 -36
-37 -39 -41 -42 -43
aw
(b) In general, what can you say about the signs of and -?
ƏT
aw
Əv
(c) What appears to be the value of the following limit?
aw
-30
(a) Estimate the values of f(-15, 40) and f(-15, 40). (Round your answers to two decimal places.)
f-15, 40) -27
X
f(-15, 40) =
-37
What are the practical interpretations of these values?
When the actual temperature is -15°C and the wind speed is 40 km/h, for every degree that the actual temperature rises the apparent temperature
rises ◊ ✔ by about
by about -27
x °C.
For a fixed wind speed v, the values of the wind-chill index W increase
-44
When the actual temperature is -15°C and the wind speed is 40 km/h, for every km/h that the wind speed increases the apparent temperature decreases
by about -27
xºc.
✓
aw
as temperature T increases, so is positive
ƏT
For a fixed temperature T, the values of W decrease (or remain constant) as v increases ✔ , SO
aw
Əv
is negative
28%
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