The heat index (HI) is an estimate of the temperature felt by the human body based on theactual measured air temperature T (in °F) and relative humidity h.. It is given byHI = – 42.379 +2.049015237 + 10.14333127h, – 0.22475541Th, – (6.83783 × 10-3)T²- (5.481717 x 10-2)h,² + (1.22874 × 10-3)T®h, + (8.5282 · 10-4)Th,²- (1.99 x 10-6)T®h,?.a. If the air temperature in your area is 107°F with a relative humidity of 8%, how hot doesyour body feel?b. If the air temperature and relative humidity is known to be increasing at a rate of 2°F persec and 1% per sec, resp., how fast is the heat index changing at the moment when the airtemperature in your area is 107°F with a relative humidity of 8%?

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