Concept explainers
Modeling Data The average typing speeds S (in words per minute) of a typing student after t weeks of lessons are shown in the table.
t | 5 | 10 | 15 | 20 | 25 | 30 |
S | 28 | 56 | 79 | 90 | 93 | 94 |
A model for the data is
(a) Use a graphing utility to plot the data and graph the model.
(b) Use the second derivative to determine the concavity of S. Compare the result with the graph in part (a).
(c) What is the sign of the first derivative for
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
Bundle: Calculus: Early Transcendental Functions, 7th + Webassign, Multi-term Printed Access Card
- Does the following table represent a linear function ? If so, find the linear equation that models the data.arrow_forwardTemperature The graph shows the temperature in degrees Celsius as a function of the altitude h in feet when an inversion layer is over Southern California. See Exercise 43 in the previous section. Estimate and interpret the derivatives of T(h) at the marked points.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning