+ The direction= (-)that T is going up and Vis going down.Use this chart to give an estimate for D„W(-20,30) in the direction u =meansMake sure you explain your steps with English words.+ HINT: Estimate thepartial derivatives Wawand W then use theaTavdirectional derivativeformula. THENORAWind Chill ChartTemperature (°F)Calm 40353025 20 15 10 5 0 -5-10 -15 -20 -25 -30-35 -40 -455363125191371-5 -11 -16.-22 -28 -34 -40 -46 -52 -57 -6310342721159.-4-10 -16 -22 -28 -35 -41 -47 -53 -59 -66 -7215322519136.-7-13 19 -26 -32 -39 -45 -51 -58 -64 -71 -7720302417114-2-9-15 -22 -29 -35 -42 -48 -55 -61 -68 -74 -81E 252923166.3-4-11-17 -24 -31 -37 -44 -51 -58 -64 -71 -78 -843028221581-5-12 19 -26 -33 -39 -46 -53 -60 -67 -73 -80 -870 352821147-7-14 -21 -27 -34 -41 -48 -55 -62 -69 -76 -82 -89402720136.-1-8-15 -22 -29 -36 -43 -50 -57 -64 -71-78 -84 -9145261912-2-9-16 -23 -30 -37 -44 -51 -58 -65 -72 -79 -86 -93502619124-3-10 -17 -24 -31 -38 -45 -52 -60 -67 -74 -81 -88 -95552518114-3-1118 -25 -32 -39 -46 -54 -61 -68 -75 -82 -89 -97602517103-4-11-19 -26 -33 -40 -48 -55 -62 -69 -76 -84 -91 -98Frostbite Times30 minutes10 minutes5 minutesWind Chill (°F) = 35.74 + 0.6215T - 35.75(V0.16) + 0.4275T(V0.16)Where, T= Air Temperature (°F) V=Wind Speed (mph)%3DEffective 11/01/01Wind (mph)SERVICE

Given the function wind chill is W°F=35.74+0.6215T-35.75V0.16+0.4275TV0.16. Here T is the air…

Use this chart to give an estimate for D„W(-20,30) in the direction u = + The direction Make sure you explain your steps with English words. u = means that T is going up and V is going down. - HINT: Estimate the partial derivatives W and W then use the directional derivative formula.

Use this chart to give an estimate for D„W(-20,30) in the direction u = + The direction Make sure you explain your steps with English words. u = means that T is going up and V is going down. - HINT: Estimate the partial derivatives W and W then use the directional derivative formula.

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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Concept explainers

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.

Question

+ The direction
= (-)
that T is going up and V
is going down.
Use this chart to give an estimate for D„W(-20,30) in the direction u =
means
Make sure you explain your steps with English words.
+ HINT: Estimate the
partial derivatives W
aw
and W then use the
aT
av
directional derivative
formula.

THE
NORA
Wind Chill Chart
Temperature (°F)
Calm 40
35
30
25 20 15 10 5 0 -5
-10 -15 -20 -25 -30-35 -40 -45
5
36
31
25
19
13
7
1
-5 -11 -16.
-22 -28 -34 -40 -46 -52 -57 -63
10
34
27
21
15
9.
-4
-10 -16 -22 -28 -35 -41 -47 -53 -59 -66 -72
15
32
25
19
13
6.
-7
-13 19 -26 -32 -39 -45 -51 -58 -64 -71 -77
20
30
24
17
11
4
-2
-9
-15 -22 -29 -35 -42 -48 -55 -61 -68 -74 -81
E 25
29
23
16
6.
3
-4
-11
-17 -24 -31 -37 -44 -51 -58 -64 -71 -78 -84
30
28
22
15
8
1
-5
-12 19 -26 -33 -39 -46 -53 -60 -67 -73 -80 -87
0 35
28
21
14
7
-7
-14 -21 -27 -34 -41 -48 -55 -62 -69 -76 -82 -89
40
27
20
13
6.
-1
-8
-15 -22 -29 -36 -43 -50 -57 -64 -71
-78 -84 -91
45
26
19
12
-2
-9
-16 -23 -30 -37 -44 -51 -58 -65 -72 -79 -86 -93
50
26
19
12
4
-3
-10 -17 -24 -31 -38 -45 -52 -60 -67 -74 -81 -88 -95
55
25
18
11
4
-3
-11
18 -25 -32 -39 -46 -54 -61 -68 -75 -82 -89 -97
60
25
17
10
3
-4
-11
-19 -26 -33 -40 -48 -55 -62 -69 -76 -84 -91 -98
Frostbite Times
30 minutes
10 minutes
5 minutes
Wind Chill (°F) = 35.74 + 0.6215T - 35.75(V0.16) + 0.4275T(V0.16)
Where, T= Air Temperature (°F) V=Wind Speed (mph)
%3D
Effective 11/01/01
Wind (mph)
SERVICE

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