Explanation Given: The population rebounds P ( t ) = { 6 e − t / 20 if t < a 6 A e t / 3 if a ≤ t ≤ b 12 if t ≥ b And α = 5.7 ln ( 77 c 0 ) , b = 6.6 ln ( 77 c 0 ) + 2.08 , A = ( 77 c 0 ) − 2.2 Calculation: Now, T is the time taken to reduce the bacteria population size to 90% of its initial size. Initial size is 6 and 90% of 6 is 5.4. And note that T < a, so: 5.4 = 6 e − T / 20 e − T / 20 = 5.4 6 T = 20 ln ( 6 / 5.4 ) = 2

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Chapter 1, Problem 4CS

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Biocalculus

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To find the expressions for Δ and T in the modeled populations in terms of c 0 .

Solution Summary: The author explains the expressions for and T in the modeled populations in terms of c 0 — T is the time taken to reduce the bacteria population size to 90% of its initial size.

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To find the expressions for Δ and T in the modeled populations in terms of c₀.

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Chapter 1 Solutions

To find the expressions for Δ and T in the modeled populations in terms of c 0 .

Solution Summary: The author explains the expressions for and T in the modeled populations in terms of c 0 — T is the time taken to reduce the bacteria population size to 90% of its initial size.

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To find the expressions for Δ and T in the modeled populations in terms of c0.

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Chapter 1 Solutions

To find the expressions for Δ and T in the modeled populations in terms of c₀.