Explanation Given information: A table that represents the index of heat I in ∘ F , as a function f ( H , T ) . H is the relative humidity and temperature is also in ∘ F . The heat index is a measurement of the feeling that how does it feels as a result of the combination of humidity and temperature. Formula used: Partial derivatives, f x ( a , b ) = lim h → 0 f ( a + h , b ) − f ( a , b ) h It is the partial derivative of f with respect to x keeping y as constant. Calculation: Consider the table defined for the function f ( H , T ) . The heat index is given by the function I = f ( H , T ) . Where, H is the humidity percentage in the air and T is the temperature in degrees Fahrenheit. Since the change in humidity is 10 % and temperature change recorder is 5-degree Fahrenheit. Thus, ∂ I ∂ H = f ( H + Δ H , T ) − f ( H , T ) Δ H = f ( 50 + 10 , 80 ) − f ( 50 , 80 ) 10 = 82 − 81 10 = 0

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Chapter 8.3, Problem 10P

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The value ∂I∂H and ∂I∂T for the weather conditions in Boston in summer (H=50,T=80). Meaning of the answer in practical terms.

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Chapter 8.3, Problem 9P

Chapter 8.3, Problem 11P

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The value ∂ I ∂ H and ∂ I ∂ T for the weather conditions in Boston in summer ( H = 50 , T = 80 ) . Meaning of the answer in practical terms.

Solution Summary: The author calculates the heat index by using the function f(H,T), where H is the humidity percentage in the air and T is temperature in degrees Fahrenheit.

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To calculate:

The value ∂I∂H and ∂I∂T for the weather conditions in Boston in summer (H=50,T=80). Meaning of the answer in practical terms.

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Chapter 8 Solutions

The value ∂ I ∂ H and ∂ I ∂ T for the weather conditions in Boston in summer ( H = 50 , T = 80 ) . Meaning of the answer in practical terms.

Solution Summary: The author calculates the heat index by using the function f(H,T), where H is the humidity percentage in the air and T is temperature in degrees Fahrenheit.

Videos

To calculate: The value ∂I∂H and ∂I∂T for the weather conditions in Boston in summer (H=50,T=80). Meaning of the answer in practical terms.

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Chapter 8 Solutions

To calculate:

The value ∂I∂H and ∂I∂T for the weather conditions in Boston in summer (H=50,T=80). Meaning of the answer in practical terms.