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Exercise 17

Avg difficulty 2.5

The wind chill, as frequently reported, is a measure of how cold it feels outside when the wind is blowing. In Table, the wind chill w=w(v,T)w=w(v,T), measured in degrees Fahrenheit, is a function of the wind speed vv, measured in miles per hour, and the ambient air temperature TT, also measured in degrees Fahrenheit. Approximate the average wind chill on the rectangle [5,35]×[−20,20][5,35] \times [-20,20] using 3 subintervals in the vv direction, 4 subintervals in the TT direction, and the point in the lower left corner in each subrectangle.

Wind chill as a function of wind speed and temperature.
v\Tv \backslash T−20-20−15-15−10-10−5-50055101015152020
55−34-34−28-28−22-22−16-16−11-11−5-511771313
1010−41-41−35-35−28-28−22-22−16-16−10-10−4-43399
1515−45-45−39-39−32-32−26-26−19-19−13-13−7-70066
2020−48-48−42-42−35-35−29-29−22-22−15-15−9-9−2-244
2525−51-51−44-44−37-37−31-31−24-24−17-17−11-11−4-433
3030−53-53−46-46−39-39−33-33−26-26−19-19−12-12−5-511
3535−55-55−48-48−41-41−34-34−27-27−21-21−14-14−7-700

Long, Keller & Schlicker, Active Calculus Multivariable, §12.2 Double Riemann Sums and Double Integrals over Rectangles, Exercise 17

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Adapted from Active Calculus Multivariable © 2013–2026 Nicholas Long, Mitchel T. Keller, and Steven Schlicker. Licensed under CC BY-SA 4.0. Source: Active Calculus Multivariable. Imported at revision 692c03c.