Thermostat Control Energy conservation experts estimate that homeowners can save 5 % to 10 % on winter heating bills by programming their thermostats 5 to 10 degrees lower while sleeping. In the graph, the temperature T (in degrees Fahrenheit) of a home is given as a function of time t (in hours after midnight) over a 24-hour period. a. At what temperature is the thermostat set during daytime hours? At what temperature is the thermostat set overnight?
Thermostat Control Energy conservation experts estimate that homeowners can save 5 % to 10 % on winter heating bills by programming their thermostats 5 to 10 degrees lower while sleeping. In the graph, the temperature T (in degrees Fahrenheit) of a home is given as a function of time t (in hours after midnight) over a 24-hour period. a. At what temperature is the thermostat set during daytime hours? At what temperature is the thermostat set overnight?
Solution Summary: Thermostat Control Energy conservation experts estimate that homeowners can save 5 to 10 % on winter heating bills by programming their thermostats 5-10 degrees lower while sleeping.
To find:Thermostat Control Energy conservation experts estimate that homeowners can save to on winter heating bills by programming their thermostats 5 to 10 degrees lower while sleeping. In the graph, the temperature (in degrees Fahrenheit) of a home is given as a function of time (in hours after midnight) over a 24-hour period.
a. At what temperature is the thermostat set during daytime hours? At what temperature is the thermostat set overnight?
To determine
To find:Thermostat Control Energy conservation experts estimate that homeowners can save to on winter heating bills by programming their thermostats 5 to 10 degrees lower while sleeping. In the graph, the temperature (in degrees Fahrenheit) of a home is given as a function of time (in hours after midnight) over a 24-hour period.
b. The homeowner reprograms the thermostat to . Explain how this affects the temperature in the house. Graph this new function.
To determine
To find:Thermostat Control Energy conservation experts estimate that homeowners can save to on winter heating bills by programming their thermostats 5 to 10 degrees lower while sleeping. In the graph, the temperature (in degrees Fahrenheit) of a home is given as a function of time (in hours after midnight) over a 24-hour period.
c. The homeowner reprograms the thermostat to . Explain how this affects the temperature in the house. Graph this new function.
The spread of an infectious disease is often modeled using the following autonomous differential equation:
dI
-
- BI(N − I) − MI,
dt
where I is the number of infected people, N is the total size of the population being modeled, ẞ is a constant determining the rate of
transmission, and μ is the rate at which people recover from infection.
Close
a) (5 points) Suppose ẞ = 0.01, N = 1000, and µ = 2. Find all equilibria.
b) (5 points) For the equilbria in part a), determine whether each is stable or unstable.
c) (3 points) Suppose ƒ(I) = d. Draw a phase plot of f against I. (You can use Wolfram Alpha or Desmos to plot the function, or draw the
dt
function by hand.) Identify the equilibria as stable or unstable in the graph.
d) (2 points) Explain the biological meaning of these equilibria being stable or unstable.
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Time Series Analysis Theory & Uni-variate Forecasting Techniques; Author: Analytics University;https://www.youtube.com/watch?v=_X5q9FYLGxM;License: Standard YouTube License, CC-BY