i. A population of Transylvanian Chihuahuas has a natural annual growth rate of 12%. The population is growing on the island of Batislava which can only support a population of 12,000 of the creatures. If a group of 6,000 are present at time t = 0, find a function that gives the number after t years, and compute the population 10 years later (use a calculator for the second part). ii A colony of o coli

Calculus: Early Transcendentals
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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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Solve b letter i to find the solution of the given problems.

(b) Find the solution to cach of the given problems - you may assume the logistic model
applies in each casc.
i. A population of Transylvanian Chihuahuas has a natural annual growth rate of
12%. The population is growing on the island of Batislava which can only support a
population of 12,000 of the creatures. If a group of 6,000 are present at time t = 0,
find a function that gives the number after t years, and compute the population 10
years later (use a calculator for the second part).
ii. A colony of c. coli. bacteria is growing in a petri dish according to the logistic
model. The initial quantity present is 4 grams, and the dish has nutrients to sustain
no more than 10 grams. The growth rate of the bacteria population at the start of
the experiment is 1 gram per day. Find the intrinsic growth rate of the bacteria in
the absence of scarcity.
1
Transcribed Image Text:(b) Find the solution to cach of the given problems - you may assume the logistic model applies in each casc. i. A population of Transylvanian Chihuahuas has a natural annual growth rate of 12%. The population is growing on the island of Batislava which can only support a population of 12,000 of the creatures. If a group of 6,000 are present at time t = 0, find a function that gives the number after t years, and compute the population 10 years later (use a calculator for the second part). ii. A colony of c. coli. bacteria is growing in a petri dish according to the logistic model. The initial quantity present is 4 grams, and the dish has nutrients to sustain no more than 10 grams. The growth rate of the bacteria population at the start of the experiment is 1 gram per day. Find the intrinsic growth rate of the bacteria in the absence of scarcity. 1
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