The heat index (HI) is an estimate of the temperature felt by the human body based on the actual measured air temperature T (in ºF) and relative humidity h,. It is given by HI =- 42 + 27 + 10h, – 0.22Th, – 1.997*h,?. 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 2ºF per and 1% per sec, resp., how fast is the heat index changing at the moment when the air temperature in your area is 107ºF with a relative humidity of 8%? sec

Advanced Engineering Mathematics
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The heat index (HI) is an estimate of the temperature felt by the human body based on the
actual measured air temperature T (in ºF) and relative humidity h,. It is given by
HI =- 42 + 27 + 10h, – 0.22Th, – 1.997*h,?.
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 2ºF per
and 1% per sec, resp., how fast is the heat index changing at the moment when the air
temperature in your area is 107ºF with a relative humidity of 8%?
sec
Transcribed Image Text:The heat index (HI) is an estimate of the temperature felt by the human body based on the actual measured air temperature T (in ºF) and relative humidity h,. It is given by HI =- 42 + 27 + 10h, – 0.22Th, – 1.997*h,?. 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 2ºF per and 1% per sec, resp., how fast is the heat index changing at the moment when the air temperature in your area is 107ºF with a relative humidity of 8%? sec
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