The population of algae on a Petri dish is dying from exposure to a potent toxin. Its population follows the equation: P(t)  =  20,000 (9 + 6e−0.02t + te−0.02t ) (a) What is the initial population of the algae? (i.e. at t = 0, when the toxin is introduced) (b) What is the maximum algae population?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
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The population of algae on a Petri dish is dying from exposure to a potent toxin.
Its population follows the equation:

P(t)  =  20,000 (9 + 6e−0.02t + te−0.02t )

(a) What is the initial population of the algae? (i.e. at t = 0, when the toxin is introduced)
(b) What is the maximum algae population?
(c) Find the limit of the population as  t → ∞ .

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