Question and its parts in picture PROBLEM: Fruit flies are situated in a small glass bottle containing a limitedamount of food. Suppose the fruit fly population after t days is given by the func-tion230P(t):1+56.5e (0016)(230)tHow many fruit flies were originally placed in the bottle?What is the carrying capacity of the small glass bottle as t gets larger (graph thisfunction to help answer this question)?When will the population of fruit flies be 200?Using a graphing utility, change the various constants in the fruit fly equationone at a time and notice how each affects the characteristic "S" shape of thelogistic function graph.

Answered: Image /qna-images/answer/3b961c0b-a5c1-4eab-8889-3b0effe91f3d.jpg

PROBLEM: Fruit flies are situated in a small glass bottle containing a limited amount of food. Suppose the fruit fly population after t days is given by the func- tion P(t) = 230 1+56.5e-(0016)(230)t How many fruit flies were originally placed in the bottle?

PROBLEM: Fruit flies are situated in a small glass bottle containing a limited amount of food. Suppose the fruit fly population after t days is given by the func- tion P(t) = 230 1+56.5e-(0016)(230)t How many fruit flies were originally placed in the bottle?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Question

Question and its parts in picture

PROBLEM: Fruit flies are situated in a small glass bottle containing a limited
amount of food. Suppose the fruit fly population after t days is given by the func-
tion
230
P(t):
1+56.5e (0016)(230)t
How many fruit flies were originally placed in the bottle?
What is the carrying capacity of the small glass bottle as t gets larger (graph this
function to help answer this question)?
When will the population of fruit flies be 200?
Using a graphing utility, change the various constants in the fruit fly equation
one at a time and notice how each affects the characteristic "S" shape of the
logistic function graph.

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