117. Relative Humidity The relative humidity is the ratio (expressed as a percent) of the amount of water vapor in the air to the maximum amount that the air can hold at a specific temperature. The relative humidity, R , is found using the following formula: R = 10 ( 4221 T + 459.4 − 4231 D + 459.4 + 2 ) where T is the air temperature (in ° F ) and D is the dew point temperature (in ° F ). (a) Determine the relative humidity if the air temperature is 50 ° Fahrenheit and the dew point temperature is 41 ° Fahrenheit. (b) Determine the relative humidity if the air temperature is 68 ° Fahrenheit and the dew point temperature is 59 ° Fahrenheit. (c) What is the relative humidity if the air temperature and the dew point temperature arc the same?
117. Relative Humidity The relative humidity is the ratio (expressed as a percent) of the amount of water vapor in the air to the maximum amount that the air can hold at a specific temperature. The relative humidity, R , is found using the following formula: R = 10 ( 4221 T + 459.4 − 4231 D + 459.4 + 2 ) where T is the air temperature (in ° F ) and D is the dew point temperature (in ° F ). (a) Determine the relative humidity if the air temperature is 50 ° Fahrenheit and the dew point temperature is 41 ° Fahrenheit. (b) Determine the relative humidity if the air temperature is 68 ° Fahrenheit and the dew point temperature is 59 ° Fahrenheit. (c) What is the relative humidity if the air temperature and the dew point temperature arc the same?
Solution Summary: The author explains the relative humidity if the air temperature is 50 ° Fahrenheit and the dew point
117. Relative Humidity The relative humidity is the ratio (expressed as a percent) of the amount of water vapor in the air to the maximum amount that the air can hold at a specific temperature. The relative humidity, R, is found using the following formula:
where T is the air temperature (in
) and D is the dew point temperature (in
).
(a) Determine the relative humidity if the air temperature is
Fahrenheit and the dew point temperature is
Fahrenheit.
(b) Determine the relative humidity if the air temperature is
Fahrenheit and the dew point temperature is
Fahrenheit.
(c) What is the relative humidity if the air temperature and the dew point temperature arc the same?
2. (5 points) Let f(x) =
=
-
-
- x² − 3x+7. Find the local minimum and maximum point(s)
of f(x), and write them in the form (a, b), specifying whether each point is a minimum
or maximum. Coordinates should be kept in fractions.
Additionally, provide in your answer if f(x) has an absolute minimum or maximum
over its entire domain with their corresponding values. Otherwise, state that there is no
absolute maximum or minimum. As a reminder, ∞ and -∞ are not considered absolute
maxima and minima respectively.
Let h(x, y, z)
=
—
In (x) — z
y7-4z
-
y4
+ 3x²z — e²xy ln(z) + 10y²z.
(a) Holding all other variables constant, take the partial derivative of h(x, y, z) with
respect to x, 2 h(x, y, z).
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(b) Holding all other variables constant, take the partial derivative of h(x, y, z) with
respect to y, 2 h(x, y, z).
math help plz
Chapter 5 Solutions
Precalculus Enhanced with Graphing Utilities (7th Edition)
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