Problem 34E

Graphs

Fruit flies (Continuation of Example 4, Section 2.1.)

Populations starting out in closed environments grow slowly at first, when there are relatively few members, then more rapidly as the number of reproducing individuals increases and resources are still abundant, then slowly again as the population reaches the carrying capacity of the environment. a. Use the graphical technique of Example 3 to graph the derivative of the fruit fly population. The graph of the population is reproduced here.

b. During what days does the population seem to be increasing fastest? Slowest?

Reference: Example 4, Section 2.1

Figure 2.5 shows how a population p of fruit flies (Drosophila) grew in a 50-day experiment. The number of flies was counted at regular intervals, the counted values plotted with respect to time t, and the points joined by a smooth curve (colored blue in Figure 2.5). Find the average growth rate from day 23 to day 45.

PHYS 1443 Section 005: Technical College Physics I (Fall 2015) Instructor: Dr. Barry Spurlock Office Number: SH 007A Email: barrys@uta.edu (official class business) Office Hours: Tues/Thurs, 4:00pm to 5:00pm spurlockbarry@yahoo.com (hw questions) Meetings: Mon/Wed, 5:30pm to 6:50pm, LS 118 Office Telephone Number: None (Physics Office: 8172722266) Faculty Profile: https://www.uta.edu/mentis/public/#profile/profile/view/id/3505/category/1 Description of Course Content: The first half of a oneyear technical course. Required for many science and engineering majors, exceeds premedical requirement. The study of mechanics, elasticity, fluids, heat and waves is supplemented by laboratory experiments. Concurrent enrollme