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 t > 0? By combining this information with the concavity of the model, what inferences can be made about the typing speed as t increases?
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Chapter 3 Solutions
Calculus of a Single Variable
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