Do as indicated. 1. The heat index (HI) is an estimate of the temperature felt by the human body based on the actual measured air temperature T (in °F) and relative humidity h,. It is given by HI =- 42.379 +2.04901523T + 10.14333127h, - 0.22475541Th, (6.83783 x 10-3)7T² - (5.481717 x 10-2)h,² + (1.22874 × 10-3)T*h, + (8.5282 - 10-4)Th,² - (1.99 x 10-6)T²h,?. a. If the air temperature in your area is 107°F with a relative humidity of 8%, how hot does your body feel?

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Chapter3: Functions
Section3.4: Composition Of Functions
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Do as indicated.
1. The heat index (HI) is an estimate of the temperature felt by the human body based on the
actual measured air temperature T (in °F) and relative humidity h,. It is given by
HI = - 42.379+ 2.04901523T + 10.14333127h, - 0.22475541Th, - (6.83783 x 10-)T2
- (5.481717 x 10-2)h,² + (1.22874 x 10-³)T*h, + (8.5282 - 10-4)Th,²
- (1.99 x 10-6)T²h,?.
a. If the air temperature in your area is 107°F with a relative humidity of 8%, how hot does
your body feel?
b. If the air temperature and relative humidity is known to be increasing at a rate of 2F per
sec and 1% per sec, resp.., how fast is the heat index changing at the moment when the air
temperature in your area is 107'F with a relative humidity of 8%?
Transcribed Image Text:Do as indicated. 1. The heat index (HI) is an estimate of the temperature felt by the human body based on the actual measured air temperature T (in °F) and relative humidity h,. It is given by HI = - 42.379+ 2.04901523T + 10.14333127h, - 0.22475541Th, - (6.83783 x 10-)T2 - (5.481717 x 10-2)h,² + (1.22874 x 10-³)T*h, + (8.5282 - 10-4)Th,² - (1.99 x 10-6)T²h,?. a. If the air temperature in your area is 107°F with a relative humidity of 8%, how hot does your body feel? b. If the air temperature and relative humidity is known to be increasing at a rate of 2F per sec and 1% per sec, resp.., how fast is the heat index changing at the moment when the air temperature in your area is 107'F with a relative humidity of 8%?
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