Professor Mike starts an experiment using bacteria with a population of n. It is found that the rate of the population growth of the bacteria is given by = 0.005y dy where is the population y at dt time t minutes after the experiment starts. а. Choose any value of n between 200 and 700, and use it to find: i. The general solution for y. ii. The particular solution for y. b. Estimate the population of the bacteria at time, t = 100 minutes.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Professor Mike starts an experiment using bacteria with a population of n.
It is found that the rate of the population growth of the bacteria
population
dy
given by
is
at
is
* = 0.005y
where
the
y
dt
time t minutes after the experiment starts.
а.
Choose any value of n between 200 and 700, and use it to find:
i.
The general solution for y.
ii.
The particular solution for y.
b.
Estimate the population of the bacteria at time, t = 100 minutes.
Transcribed Image Text:Professor Mike starts an experiment using bacteria with a population of n. It is found that the rate of the population growth of the bacteria population dy given by is at is * = 0.005y where the y dt time t minutes after the experiment starts. а. Choose any value of n between 200 and 700, and use it to find: i. The general solution for y. ii. The particular solution for y. b. Estimate the population of the bacteria at time, t = 100 minutes.
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