Consider a population p of field mice that grows at a rate proportional to the current population, so that di (Note: remember that, as in the text, is measured in months, not days. One month is 30 days.) (a) Find the rate constant r if the population doubles in 30 days. (b) Find r if the population doubles in N days. oooo O (a) r In 2; (b) r (a) r = 2; (b) r = 1 2: (b) r (a) r = (a) r (a) r = In = 1 2 8/2²18 60 In 2; (b) r: N N 30 60 = (b) r = I In 2. N -In 2. 30 N 1 <= rp In 30 2

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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Consider a population p of field mice that grows at a rate proportional to the current population,
so that
dp
di
(Note: remember that, as in the text, is measured in months, not days. One month is 30 days.)
(a) Find the rate constant r if the population doubles in 30 days.
(b) Find r if the population doubles in N days.
OOO
O
(a) r In 2; (b) r =
(a) r = 2; (b) r =
1
(a) r =
(a) r
(b) r =
In 2: (b) r =
1
(a) r = In: (b)
60
N'
N
60
30
(b) r =
N
In 2.
-In 2.
30
N
30 In
1
<= rp
Transcribed Image Text:Consider a population p of field mice that grows at a rate proportional to the current population, so that dp di (Note: remember that, as in the text, is measured in months, not days. One month is 30 days.) (a) Find the rate constant r if the population doubles in 30 days. (b) Find r if the population doubles in N days. OOO O (a) r In 2; (b) r = (a) r = 2; (b) r = 1 (a) r = (a) r (b) r = In 2: (b) r = 1 (a) r = In: (b) 60 N' N 60 30 (b) r = N In 2. -In 2. 30 N 30 In 1 <= rp
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