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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
Student Solutions Manual for Larson/Edwards' Calculus of a Single Variable, 11th
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- "Solve the following differential equation using the Operator Method and the Determinant Method:" y'''' + 3y'"' + 3y'' + y = xarrow_forwardpractice for exam please helparrow_forwardFig. 4.22. Problems 4.1 (A). Determine the second moments of area about the axes XX for the sections shown in Fig. 4.23. [15.69, 7.88, 41.15, 24; all x 10-6 m. All dimensions in mm IAA inn 100 25 50 25 50 80 50 50 Fig. 4.23. X 80 60arrow_forward
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