Concept explainers
To find: how many sterile flies are there after n days and what happens in the long run.
Answer to Problem 50E
Explanation of Solution
Given information: To control an agriculture pest called the medfly, N sterilized male
flies are released into the general fly population every day. If s is the proportion of these sterilized flies that survive a given day, then
Calculation:
N sterilized male flies are released into the general fly population every day.
s is the proportion of these sterilized flies that survive a given day, then the number of
flies that survive any given day is:
So, the number of sterilized male flies that there are in two day is ,
So, this is a geometric series with ratio r=s and a=N.
So, sum of this geometric series is ,
Chapter 8 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning