Concept explainers
Spread of News A news item is broadcast by mass media to a potential audience of 50,000 people. After
Figure 8
a. How many people will have heard the news after
b. At what rate is the news spreading initially?
c. When will
e. Approximately when will the news spread at the rate of
e. Use equations (3) and (4) to determine the differential equation satisfied by
f. At what rate will the news spread when half the potential audience has heard the news?
Want to see the full answer?
Check out a sample textbook solutionChapter 5 Solutions
Calculus & Its Applications (14th Edition)
- Physician Demand The demand for physicians is expected to increase in the future, as shown in the accompanying table. Source: Association of American Medical Colleges. Year Demand for Physicians in thousands 2006 680.5 2015 758.6 2020 805.8 2025 859.3 a. Plot the data, letting t=0 correspond to 2000. Does fitting an exponential curve to the data seem reasonable? b. Use the data for 2006 and 2015, to find the function of the form f(t)=Cekt that goes through these two points. c. Use your function from part b to predict the demand for physicians in 2020 and 2025. How well do these predictions fit the data? d. If you have graphing calculator or computer program with an exponential regression feature, use it to find an exponential function that approximately fits the data. How does this answer compare with answer to part b?arrow_forwardThe half-life of plutonium-244 is 80,000,000 years. Find function gives the amount of carbon-14 remaining as a function of time, measured in years.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage