represent the number of bacteria (measured in millions) at time t (measured in hours). This system can be modeled by the following updating function: bt+1 = 1.5bt Let b0 =7. Iterate the discrete time dynamical system for a few steps: b1 = _______ b2 = _______ b3 = _______ Write down a solution to the discrete-time dynamical system. Solution: b(t) = ______ Use your solution to compute the following: b(1) = _______ b(2) = _______ b(3) = _______ Do your answers agree with your iterations? (yes/no) _________

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let bt represent the number of bacteria (measured in millions) at time t (measured in hours).
This system can be modeled by the following updating function:
bt+1 = 1.5bt
Let b0 =7.
Iterate the discrete time dynamical system for a few steps:

b= _______
b2
= _______
b3 = _______

Write down a solution to the discrete-time dynamical system.
Solution: b(t) = ______

Use your solution to compute the following:

b(1) = _______
b(2) = _______
b(3) = _______

Do your answers agree with your iterations? (yes/no) _________

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