The air in a crowded room full of people contains .25% carbon dioxide (CO2). An air conditioner is turned on that blows fresh air into the room at the rate of 500 cubic feet per minute. The fresh air mixes with the stale air, and the mixture leaves the room at the rate of 500 cubic feet per minute. The fresh air contains .01% CO2, and the room has a volume of 2500 cubic feet. (a) Find a differential equation satisfied by the amount f(t)of CO2 in the room at time t.(b) The model developed in part (a) ignores the CO2 produced by the respiration of the people in the room. Suppose that the people generate .08 cubic foot of CO2 per minute. Modify the differential equation in part (a) totake into account this additional source of CO2.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The air in a crowded room full of people contains .25% carbon dioxide (CO2). An air conditioner is turned on that blows fresh air into the room at the rate of 500 cubic feet per minute. The fresh air mixes with the stale air, and the mixture leaves the room at the rate of 500 cubic feet per minute. The fresh air contains .01% CO2, and the room has a volume of 2500 cubic feet.
(a) Find a differential equation satisfied by the amount f(t)
of CO2 in the room at time t.
(b) The model developed in part (a) ignores the CO2 produced by the respiration of the people in the room. Suppose that the people generate .08 cubic foot of CO2 per minute. Modify the differential equation in part (a) to
take into account this additional source of CO2.
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