(a) Explanation Given information: Bacteria population: If a bacteria population starts with 500 bacteria and doubles in size every half hour, then the number of bacteria after t hours is n = f ( t ) = 500 ⋅ 4 t . Calculation: Solve for t : n = 500 ⋅ 4 t Divide by 500 n 500 = 4 t Take the log (base 10) log (b) To determine To find: time when will be the population reaches 10,000.

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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ISBN: 9781305779037

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Differential Equations

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Question

Chapter 1.5, Problem 57E

(a)

To determine

To find: the inverse of the function.

(b)

To determine

To find: time when will be the population reaches 10,000.

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Chapter 1.5, Problem 56E

Chapter 1.5, Problem 58E

Chapter 1 Solutions

Bundle: Biocalculus: Calculus, Probability, And Statistics For The Life Sciences + Webassign Printed Access Card For Stewart/day's Biocalculus: Calculus For Life Sciences, 1st Edition, Multi-term

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the inverse of the function.

Solution Summary: The author explains how the inverse function gives the number of hours passed for the population size to reach n.