In the summer, humidity interacts with the outdoor temperature, making a person feel hotter because of reduced heat loss from the skin caused by higher humidity. The temperature-humidity index, Th, is what the temperature would have to be with no humidity in order to give the same heat effect. One such index is given by the function below, where T is the air temperature, in degrees Fahrenheit, and H is the relative humidity, expressed as a decimal. Th=1.86T- 1.04(1-H)(T-59) - 56.2

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Chapter3: Functions
Section3.4: Composition Of Functions
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In the summer, humidity interacts with the outdoor temperature, making a person feel hotter because of reduced heat
loss from the skin caused by higher humidity. The temperature-humidity index, Th, is what the temperature would have
to be with no humidity in order to give the same heat effect. One such index is given by the function below, where T is
the air temperature, in degrees Fahrenheit, and H is the relative humidity, expressed as a decimal.
Th=1.86T- 1.04(1-H)(T-59) - 56.2
атп
Ән
=
Choose the correct answer below.
O A. The partial derivative shows that where T <59, Th will increase by a factor of 1.04 units. Where T> 59, Th will
decrease by a factor of 1.04 units.
OB. The partial derivative shows that where T <59, Th will increase by a factor of 1.04 units. Where T≥ 59, Th will
decrease by a factor of 1.04 units.
C. The partial derivative shows that where T> 59, Th will increase by a factor of 1.04 units. Where T <59, Th will
decrease by a factor of 1.04 units.
O D. The partial derivative shows that where T≥59, Th will decrease by a factor of 1.04 units. Where T<59, Th will
increase by a factor of 1.04 units.
Transcribed Image Text:In the summer, humidity interacts with the outdoor temperature, making a person feel hotter because of reduced heat loss from the skin caused by higher humidity. The temperature-humidity index, Th, is what the temperature would have to be with no humidity in order to give the same heat effect. One such index is given by the function below, where T is the air temperature, in degrees Fahrenheit, and H is the relative humidity, expressed as a decimal. Th=1.86T- 1.04(1-H)(T-59) - 56.2 атп Ән = Choose the correct answer below. O A. The partial derivative shows that where T <59, Th will increase by a factor of 1.04 units. Where T> 59, Th will decrease by a factor of 1.04 units. OB. The partial derivative shows that where T <59, Th will increase by a factor of 1.04 units. Where T≥ 59, Th will decrease by a factor of 1.04 units. C. The partial derivative shows that where T> 59, Th will increase by a factor of 1.04 units. Where T <59, Th will decrease by a factor of 1.04 units. O D. The partial derivative shows that where T≥59, Th will decrease by a factor of 1.04 units. Where T<59, Th will increase by a factor of 1.04 units.
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