In a controlled environment, a colony of bacteria of size B is experiencing exponential growth. Which of the following differential equations best describes this growth pattern? O O O O d = k - B, k> 0 dt B = kB (1), k, K > 0 dt dB = kB, k> 0 dt d = kB², k < 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 1EQ: In Exercises 1-12, find the solution of the differential equation that satisfies the given boundary...
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In a controlled environment, a colony of bacteria of size B is experiencing exponential
growth. Which of the following differential equations best describes this growth pattern?
O
O
O
O
d = k - B, k> 0
dt
B = kB (1), k, K > 0
dt
dB = kB, k> 0
dt
d = kB², k < 0
Transcribed Image Text:In a controlled environment, a colony of bacteria of size B is experiencing exponential growth. Which of the following differential equations best describes this growth pattern? O O O O d = k - B, k> 0 dt B = kB (1), k, K > 0 dt dB = kB, k> 0 dt d = kB², k < 0
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