1) Solve the following starting from the differential equation described: The number of bunnies in nest (colony) is increasing at a rate proportional to the number of bunnies. The initial number of bunnies is 10. After 60 days there are 50 bunnies in the nest. Assume the growth is uninhibited for the first year. a) Starting from the differential equation described – find an equation for the population of bunnies as a function of time. b) What is the number of bunnies after 6 months? c) It is discovered that the nest can only fit 1500 bunnies – when does momma bunny have to start sending the teenage bunnies out into the "real world"?
1) Solve the following starting from the differential equation described: The number of bunnies in nest (colony) is increasing at a rate proportional to the number of bunnies. The initial number of bunnies is 10. After 60 days there are 50 bunnies in the nest. Assume the growth is uninhibited for the first year. a) Starting from the differential equation described – find an equation for the population of bunnies as a function of time. b) What is the number of bunnies after 6 months? c) It is discovered that the nest can only fit 1500 bunnies – when does momma bunny have to start sending the teenage bunnies out into the "real world"?
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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Transcribed Image Text:1) Solve the following starting from the differential equation described:
The number of bunnies in nest (colony) is increasing at a rate proportional to the number
of bunnies. The initial number of bunnies is 10. After 60 days there are 50 bunnies in the
nest. Assume the growth is uninhibited for the first year.
a) Starting from the differential equation described – find an equation for the population
of bunnies as a function of time.
b) What is the number of bunnies after 6 months?
c) It is discovered that the nest can only fit 1500 bunnies – when does momma bunny
have to start sending the teenage bunnies out into the "real world"?
d) With our discovery in c), we now know the wording of the problem must be changed.
Which sentence needs to be changed, and how would you change it?
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