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According to data from the U.S.Bureau of the Census, the population (measured in millions of people) of the U.S. in
(a) Using the
(b) Determine the logistic model corresponding to the given data.
(c) On the same set of axes, plot the solution curves obtained in (a) and (b). From your plots, determine the values the different models would you have predicted for the population in
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Chapter 1 Solutions
EBK DIFFERENTIAL EQUATIONS AND LINEAR A
- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?arrow_forwardDoes a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.arrow_forwardEnter the data from Table 2 into a graphing calculator and graph the ranking scatter plot. Determine whetherthe data from the table would likely represent a function that is linear, exponential, or logarithmic.arrow_forward
- Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to 2012. a. Let x represent time in years starting with x=0 for the year 1997. Let y represent the number of seals in thousands. Use logistic regression to fit a model to these data. b. Use the model to predict the seal population for the year 2020. c. To the nearest whole number, what is the limiting value of this model?arrow_forwardThe population of a culture of bacteria is modeled by the logistic equation P(t)=14,2501+29e0.62t where t is inarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
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