#2

(2.) The heat index I is a measure ofhow hot it feels when the relative humidity is H (as a percentage) and the actual air temperature is T (in degrees Fahrenheit). An approximate formula For the heat index that is valid For (T, H) near (90, 40) IS [(72 H) = 45.33 + 0.637" + $3.76!! 0.00361"? w 0.157HT + 0.001HT2 (a) Calculate I at (T, H) = (95, 50). (b) Which partial derivative tells us the increase in I per degree increase in T when (T, H) = (95, 50)? Calculate this partial derivative