2. The number, N, of bacteria in a culture at time t, in hours, is N(t) = 1000[30 + e a. What is the initial number of bacteria in the culture? b. Determine the rate of change in the number of bacteria at time t. c. How fast is the number of bacteria changing when t = 20? d. Determine the largest number of bacteria in the culture during the interval 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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12. The number, N, of bacteria in a culture at time t, in hours, is
N(t) = 1000[30 + e¯%]
a. What is the initial number of bacteria in the culture?
b. Determine the rate of change in the number of bacteria at time t.
c. How fast is the number of bacteria changing when t =
20?
d. Determine the largest number of bacteria in the culture during the
interval 0 < t < 50.
e. What is happening to the number of bacteria in the culture as time passes?
Transcribed Image Text:12. The number, N, of bacteria in a culture at time t, in hours, is N(t) = 1000[30 + e¯%] a. What is the initial number of bacteria in the culture? b. Determine the rate of change in the number of bacteria at time t. c. How fast is the number of bacteria changing when t = 20? d. Determine the largest number of bacteria in the culture during the interval 0 < t < 50. e. What is happening to the number of bacteria in the culture as time passes?
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