bacteria into what he has determined to be a favorable growth medium. Write out the exponential growth equation with the known and unknown quantities for this problem. After 7 hours, the colony contains 400 bacteria. What is the growth rate? What is the doubling time for this bacteria colony? If the derivative of A(t) = A0ert is A'(t) = rA0ert , what is the instantenous rate of change at t = 7 hours to the avg rate of change over the time interval 0 < t < 7 .

bacteria into what he has determined to be a favorable growth medium. Write out the exponential growth equation with the known and unknown quantities for this problem. After 7 hours, the colony contains 400 bacteria. What is the growth rate? What is the doubling time for this bacteria colony? If the derivative of A(t) = A0ert is A'(t) = rA0ert , what is the instantenous rate of change at t = 7 hours to the avg rate of change over the time interval 0 < t < 7 .

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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Question

100%

A biologist is researching a newly discovered species of bacteria. At time t=0, he puts one hundred bacteria into what he has determined to be a favorable growth medium.

Write out the exponential growth equation with the known and unknown quantities for this problem.

After 7 hours, the colony contains 400 bacteria. What is the growth rate?

What is the doubling time for this bacteria colony?

If the derivative of A(t) = A₀e^rtis A'(t) = rA₀e^rt, what is the instantenous rate of change at t = 7 hours to the avg rate of change over the time interval 0 < t < 7

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