5. A culture initially has 10000 bacteria. At t = 2h, there are 15000 bacteria. If the rate of growth is proportional to the number of bacteria P(t), present at time t, how long will it take for the population to reach 50000 bacteria? You must set up and solve an IVP for this problem. Don't start with P(t), rather set up an IVP and then find P(t).

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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please solve using Differential Equation. Thank you

5. A culture initially has 10000 bacteria. At t = 2h, there are 15000 bacteria. If the
rate of growth is proportional to the number of bacteria P(t), present at time t,
how long will it take for the population to reach 50000 bacteria? You must set
up and solve an IVP for this problem. Don't start with P(t), rather set up an
IVP and then find P(t).
Transcribed Image Text:5. A culture initially has 10000 bacteria. At t = 2h, there are 15000 bacteria. If the rate of growth is proportional to the number of bacteria P(t), present at time t, how long will it take for the population to reach 50000 bacteria? You must set up and solve an IVP for this problem. Don't start with P(t), rather set up an IVP and then find P(t).
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