Once activated, a population of self-replicating nano-bots is known to triple every four hours. Suppose that there are initially 50 nano-bots. (a) What is the size of the population after 12 hours? (b) Use an exponential function C(t) = C0e^rt to represent the population after t hours, and solve for C0 and r. (c) Estimate the size of the population after 33 hours. Your answer should be given in the most exact representation (i.e., not a decimal).
Once activated, a population of self-replicating nano-bots is known to triple every four hours. Suppose that there are initially 50 nano-bots. (a) What is the size of the population after 12 hours? (b) Use an exponential function C(t) = C0e^rt to represent the population after t hours, and solve for C0 and r. (c) Estimate the size of the population after 33 hours. Your answer should be given in the most exact representation (i.e., not a decimal).
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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Once activated, a population of self-replicating nano-bots is known to triple every four hours.
Suppose that there are initially 50 nano-bots.
(a) What is the size of the population after 12 hours?
(b) Use an exponential function C(t) = C0e^rt
to represent the population after t hours, and
solve for C0 and r.
(c) Estimate the size of the population after 33 hours. Your answer should be given in the
most exact representation (i.e., not a decimal).
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