(a) Estimate the values of f(-15, 30) and f(-15, 30). (Round your answers to two decimal place f-15, 30)
(a) Estimate the values of f(-15, 30) and f(-15, 30). (Round your answers to two decimal place f-15, 30)
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: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)
40
50
20
-18 <-20 -21 <-22
-23 -23
-15
-24
-26
-27
-29 -30 -30
-20 -30 -33 -34 <-35 -36 -37
<-37 -39 <-41 <-42
D
T
-10
-25
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30
(a) Estimate the values of f(-15, 30) and (-15, 30). (Round your answers to two decimal places.)
f(-15, 30)
f-15, 30)
60
What are the practical interpretations of these values?
When the actual temperature is -15°C and the wind speed is 30 km/h, the apparent temperature -Select- by about
70
(c) What appears to be the value of the following limit?
limaw =
v→∞ dv
-43 -44
When the actual temperature is -15°C and the wind speed is 30 km/h, the apparent temperature -Select-- by about
(b) In general, what can you say about the signs of W/3T and JW/av?
For a fixed wind speed v, the values of the wind-chill index W-Select-as temperature T increases, so
aw
JT
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For a fixed temperature 7, the values of W decrease (or remain constant) as v-Select-- , so
aw
av
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is-Select---
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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