(a) Explanation t f = 33 4 thousands. Given: The population of the colony of bacteria is given as, P ( t ) = { t 2 + 1 if 0 ≤ t < 5 − 8 t + 66 if t ≥ 5 It is given that P ( t ) = { t 2 + 1 if 0 ≤ t < 5 − 8 t + 66 if t ≥ 5 To check, if the given function is continuous, finding limits, P ( 5 ) = − 8 t + 66 = − 8 ( 5 ) + 66 = − 40 + 66 = 26 Now, finding Right hand limit, lim t → 5 + P ( t ) = lim t → 5 + − 8 t + 66 = (b) To determine To prove that that there is some time between t = 2 to t =7 when population is 9000.

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

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Question

Chapter 2.3, Problem 54PS

(a)

To determine

The value of ‘ t’ when colony die out.

(b)

To determine

To prove that that there is some time between t = 2 to t =7 when population is 9000.

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Chapter 2.3, Problem 53PS

Chapter 2.3, Problem 56PS

Chapter 2 Solutions

Calculus

Ch. 2.1 - Prob. 1PS Ch. 2.1 - Prob. 2PS Ch. 2.1 - Prob. 3PS Ch. 2.1 - Prob. 4PS Ch. 2.1 - Prob. 5PS Ch. 2.1 - Prob. 6PS Ch. 2.1 - Prob. 7PS Ch. 2.1 - Prob. 8PS Ch. 2.1 - Prob. 9PS Ch. 2.1 - Prob. 10PS

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The value of ‘ t’ when colony die out.

Solution Summary: The author explains that the value of 't' when colony die out is given as t_f=334 thousands.

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The value of ‘ t’ when colony die out.

To prove that that there is some time between t = 2 to t =7 when population is 9000.

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Chapter 2 Solutions