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, T, 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 =1.89T- 1.11(1- H)(T-61)– 56.8 Choose the correct answer below. O A. The partial derivative shows that where T> 61, T, will increase by a factor of 1.11 units. Where T<61, T, will decrease by a factor of 1.11 units. O B. The partial derivative shows that where T2 61, T, will decrease by a factor of 1.11 units. Where T<61, T, will increase by a factor of 1.11 units. O C. The partial derivative shows that where T< 61, T, will increase by a factor of 1.11 units. Where T> 61, T, will decrease by a factor of 1.11 units. O D. The partial derivative shows that where T<61, T, will increase by a factor of 1.11 units. Where T261, T, will decrease by a factor of 1.11 units.
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, T, 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 =1.89T- 1.11(1- H)(T-61)– 56.8 Choose the correct answer below. O A. The partial derivative shows that where T> 61, T, will increase by a factor of 1.11 units. Where T<61, T, will decrease by a factor of 1.11 units. O B. The partial derivative shows that where T2 61, T, will decrease by a factor of 1.11 units. Where T<61, T, will increase by a factor of 1.11 units. O C. The partial derivative shows that where T< 61, T, will increase by a factor of 1.11 units. Where T> 61, T, will decrease by a factor of 1.11 units. O D. The partial derivative shows that where T<61, T, will increase by a factor of 1.11 units. Where T261, T, will decrease by a factor of 1.11 units.
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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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, T, 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 =1.89T- 1.11(1- H)(T-61)– 56.8
Choose the correct answer below.
O A. The partial derivative shows that where T> 61, T, will increase by a factor of 1.11 units. Where T<61, T, will decrease by a factor of 1.11 units.
O B. The partial derivative shows that where T2 61, T, will decrease by a factor of 1.11 units. Where T<61, T, will increase by a factor of 1.11 units.
O C. The partial derivative shows that where T< 61, T, will increase by a factor of 1.11 units. Where T> 61, T, will decrease by a factor of 1.11 units.
O D. The partial derivative shows that where T<61, T, will increase by a factor of 1.11 units. Where T261, T, will decrease by a factor of 1.11 units.
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