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(a) If the initial population is 1000, determine the function Q(t) that expresses the growth of the number of cells of this bacterium as a function of time t (in minutes). Q(t) = (b) How long would it take for a colony of 1000 cells to increase to a population of 1 million? (Round your answer to the nearest whole number.) min (c) If the initial cell population were 10000, what is our model? Q(t) =

(a) If the initial population is 1000, determine the function Q(t) that expresses the growth of the number of cells of this bacterium as a function of time t (in minutes). Q(t) = (b) How long would it take for a colony of 1000 cells to increase to a population of 1 million? (Round your answer to the nearest whole number.) min (c) If the initial cell population were 10000, what is our model? Q(t) =

Calculus: Early Transcendentals
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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(a) If the initial population is 1000, determine the function Q(t) that expresses the growth of the number of cells of this bacterium as a function of time t (in minutes). Q(t): = (b) How long would it take for a colony of 1000 cells to increase to a population of 1 million? (Round your answer to the nearest whole number.) min (c) If the initial cell population were 10000, what is our model? Q(t): =
Transcribed Image Text:(a) If the initial population is 1000, determine the function Q(t) that expresses the growth of the number of cells of this bacterium as a function of time t (in minutes). Q(t): = (b) How long would it take for a colony of 1000 cells to increase to a population of 1 million? (Round your answer to the nearest whole number.) min (c) If the initial cell population were 10000, what is our model? Q(t): =
Growth of Bacteria The growth rate of Escherichia coli, a common bacterium found in the human intestine, is proportional to its size. Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 20 min.
Transcribed Image Text:Growth of Bacteria The growth rate of Escherichia coli, a common bacterium found in the human intestine, is proportional to its size. Under ideal laboratory conditions, when this bacterium is grown in a nutrient broth medium, the number of cells in a culture doubles approximately every 20 min.
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