The heat index I is a measure of how hot it feels when the relative humidity is H (as a

Chapter 14, Problem 47

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The heat index I is a measure of how 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 I(T, H) = 45.33 + 0.6845T + 5.758H 0.00365T 2 0.1565HT + 0.001HT 2 (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.

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