Question

A culture of bacteria in a Petri dish has an initial population of 1500 cells and grows at a rate (in cells/day) of $N^{\prime}(t)=100 e^{-0.25 t}$ Assume $t$ is measured in days. a. What is the population after 20 days? After 40 days? b. Find the population $N(t)$ at any time $t \geq 0$.

          A culture of bacteria in a Petri dish has an initial population of 1500 cells and grows at a rate (in cells/day) of $N^{\prime}(t)=100 e^{-0.25 t}$ Assume $t$ is measured in days.
a. What is the population after 20 days? After 40 days?
b. Find the population $N(t)$ at any time $t \geq 0$.

Added by Nieves S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Babita Kumari

01/25/2022

Step 1

25t} dt\] \[N(t) = -400e^{-0.25t} + C\] Show more…

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A culture of bacteria in a Petri dish has an initial population of 1500 cells and grows at a rate (in cells/day) of $N^{\prime}(t)=100 e^{-0.25 t}$ Assume $t$ is measured in days. a. What is the population after 20 days? After 40 days? b. Find the population $N(t)$ at any time $t \geq 0$.