Single Variable Calculus
8th Edition
ISBN: 9781305266636
Author: James Stewart
Publisher: Cengage Learning
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Chapter 9.4, Problem 8E
The table gives the number of yeast cells in a new laboratory culture.
| Time (hours) | Yeast cells |
| 0 | 18 |
| 2 | 39 |
| 4 | 80 |
| 6 | 171 |
| 8 | 336 |
| 10 | 509 |
| 12 | 597 |
| 14 | 640 |
| 16 | 664 |
| 18 | 672 |
- (a) Plot the data and use the plot to estimate the carrying capacity for the yeast population.
- (b) Use the data to estimate the initial relative growth rate.
- (c) Find both an exponential model and a logistic model for these data.
- (d) Compare the predicted values with the observed values, both in a table and with graphs. Comment on how well your models fit the data.
- (e) Use your logistic model to estimate the number of yeast cells after 7 hours.
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Chapter 9 Solutions
Single Variable Calculus
Ch. 9.1 - Show that y=23ex+e2x is a solution of the...Ch. 9.1 - Verify that y = t cos t t is a solution of the...Ch. 9.1 - (a) For what values of r does the function y = erx...Ch. 9.1 - (a) For what values of k does the function y = cos...Ch. 9.1 - Which of the following functions are solutions of...Ch. 9.1 - Prob. 6ECh. 9.1 - (a) What can you say about a solution of the...Ch. 9.1 - (a) What can you say about the graph of a solution...Ch. 9.1 - A population is modeled by the differential...Ch. 9.1 - The Fitzhugh-Nagumo model for the electrical...
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