A culture of bacteria in a Petri dish has an initial popula- tion of 1500 cells and grows at a rate (in cells/day) of N'(t) = 100e 0.251!. Assume t is measured in days. a. What is the population after 20 days? After 40 days? b. Find the population N(t) at any time t = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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A culture of bacteria in a Petri dish has an initial popula-
tion of 1500 cells and grows at a rate (in cells/day) of
N'(t) = 100e 0.251!. Assume t is measured in days.
a. What is the population after 20 days? After 40 days?
b. Find the population N(t) at any time t = 0.
Transcribed Image Text:A culture of bacteria in a Petri dish has an initial popula- tion of 1500 cells and grows at a rate (in cells/day) of N'(t) = 100e 0.251!. Assume t is measured in days. a. What is the population after 20 days? After 40 days? b. Find the population N(t) at any time t = 0.
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