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?
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
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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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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