Explanation Given Information: The Temperature humidity Index is given by, T H I = t − 0.55 ( 1 − h ) ( t − 58 ) . Where T is the air temperature (in degrees Fahrenheit) and H is the relative humidity (as a decimal). Formula used: According to the product rule of derivatives, d d x ( u ⋅ v ) = u d v d x + v d u d x Calculation: As it is provided that the Summer Simmer Index is given by, T H I = t − 0.55 ( 1 − h ) ( t − 58 ) Where T is the air temperature (in degrees Fahrenheit) and H is the relative humidity (as a decimal). Now, the rate of change of humidity with respect to temperature is given by d H d T . Now, differentiate both sides of equation with respect to T , d ( T H I ) d t = d d t [ t − 0.55 ( 1 − h ) ( t − 58 ) ] = 1 − 0.55 ( 1 − h ) + 0.55 ( t − 58 ) d h d t , Now, d ( T H I ) d t = 0 0 = 1 − 0

MATHMATICAL APPLICATIONS FOR THE MANAGEM

11th Edition

ISBN: 9781305758063

Author: HARSHBARGER

Publisher: CENGAGE C

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Chapter 11.3, Problem 63E

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To calculate: The rate of change of humidity with respect to temperature when the temperature is 70°F if the Summer Simmer Index is given by THI=t−0.55(1−h)(t−58) where T is the air temperature (in degrees Fahrenheit) and H is the relative humidity (as a decimal).

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Chapter 11.3, Problem 62E

Chapter 11.4, Problem 1CP

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MATHMATICAL APPLICATIONS FOR THE MANAGEM

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The rate of change of humidity with respect to temperature when the temperature is 70 ° F if the Summer Simmer Index is given by T H I = t − 0.55 ( 1 − h ) ( t − 58 ) where T is the air temperature (in degrees Fahrenheit) and H is the relative humidity (as a decimal).

Solution Summary: The author explains how to calculate the rate of change of humidity with respect to temperature when the temperature is 70°F if the Summer Simmer Index is given by THI=t-0.55(1-h)

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To calculate: The rate of change of humidity with respect to temperature when the temperature is 70°F if the Summer Simmer Index is given by THI=t−0.55(1−h)(t−58) where T is the air temperature (in degrees Fahrenheit) and H is the relative humidity (as a decimal).

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