Suppose that when a certain lake is stocked with fish, the birth and death rates B and 8 are both inversely propor- tional to P. (a) Show that P() = (4kt + /Po)´. where k is a constant. (b) If Po = 100 and after 6 months there are 169 fish in the lake, how many will there be after 1 year?

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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Suppose that when a certain lake is stocked with fish, the
birth and death rates B and 8 are both inversely propor-
tional to P. (a) Show that
P() = (4kt + /Po)´.
where k is a constant. (b) If Po = 100 and after 6 months
there are 169 fish in the lake, how many will there be after
1 year?
Transcribed Image Text:Suppose that when a certain lake is stocked with fish, the birth and death rates B and 8 are both inversely propor- tional to P. (a) Show that P() = (4kt + /Po)´. where k is a constant. (b) If Po = 100 and after 6 months there are 169 fish in the lake, how many will there be after 1 year?
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