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 – 0.00365T² – 0.1565 HT + 0.001 HT² %3D Calculate I at (T, H) = (94, 54). (Use decimal notation. Give your answer to three decimal places.) I(94, 54) = Determine the partial derivative. (Use symbolic notation and fractions where needed.) Calculate this partial derivative when (T, H) = (94, 54). (Use decimal notation. Give your answer to three decimal places.) :(94,54) =

College Algebra
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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
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Section 14.3 Question 15

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 – 0.00365T² – 0.1565 HT + 0.001 HT²
%3D
Calculate I at (T, H) = (94, 54).
(Use decimal notation. Give your answer to three decimal places.)
I(94, 54) =
Determine the partial derivative.
(Use symbolic notation and fractions where needed.)
Calculate this partial derivative when (T, H) = (94, 54).
(Use decimal notation. Give your answer to three decimal places.)
:(94,54) =
Transcribed Image Text: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 – 0.00365T² – 0.1565 HT + 0.001 HT² %3D Calculate I at (T, H) = (94, 54). (Use decimal notation. Give your answer to three decimal places.) I(94, 54) = Determine the partial derivative. (Use symbolic notation and fractions where needed.) Calculate this partial derivative when (T, H) = (94, 54). (Use decimal notation. Give your answer to three decimal places.) :(94,54) =
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