Concept explainers
Scientific Research: 1983–2003 The percentage of research articles in the prominent journal Physical Review that were written by researchers in the United States during 1983–2003 can be modeled by
Where t is time in years since 1983. The graphs of
Determine, to the nearest whole number, the values of t for which the graph of P is concave up and where it is concave down, and locate any points of inflection. What does the point of inflection tell you about science articles? [HINT: See Example 4.]
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Applied Calculus, Loose-leaf Version
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- Sections 2.6 1. Solve for x: log, x = -log, 4+-log, 16-2 log, 3 2. %3D 2. 2. Solve for x: log,(x-4)+log, x= log, 12arrow_forwardQuestion 20 The temperatures of component A and component B in a heat exchanger vary in a linear fashion as shown in the graph below, where y is the temperature in °C, after x minutes. 72 (b) -20- 10 24 (a) Determine a rule for the temperature of component A in terms of x. Showing full working, determine when both components are at the same temperature, and state what this temperature is.arrow_forwardFigure a. shows world population, in billions, for seven selected years from 1950 through 2010. A scatter plot is shown in Figure b. Suggest two types of functions that would be good choices for modeling the data.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage