b) Consider a Population of bacteria that grow according to the function f(t) = 400e°.04t where t is measured in minutes. How many bacteria are present f (t) : in the population after 5 hours? When does the population reach 100,000 bacteria?

b) Consider a Population of bacteria that grow according to the function f(t) = 400e°.04t where t is measured in minutes. How many bacteria are present f (t) : in the population after 5 hours? When does the population reach 100,000 bacteria?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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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 differential equations.

Question

b) Consider a Population of bacteria that grow according to the function
f(t) =
= 400e0.04t where t is measured in minutes. How many bacteria are present
in the population after 5 hours? When does the population reach 100,000 bacteria?

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