The population of a culture of bacteria has a growth rate given by p'(t) = 210 bacteria per hour, for t20, where r>1 is a real number. The increase in the population over the time interval [0,t] is given by (t+1 P'(s)ds. (Note that the growth rate decreases in time, reflecting the competition for food and space.) Complete steps (a) through (e) below. a. Using the population model with r=2, what is the increase in the population over the time interval 0sts4? The increase in the population over the given interval is approximately 168 bacteria. (Round down to the nearest integer as needed.) b. Using the population model with r=3, what is the increase in the population over the time interval 0sts6? bacteria. The increase in the population over the given interval is approximately (Round down to the nearest integer as needed.)
The population of a culture of bacteria has a growth rate given by p'(t) = 210 bacteria per hour, for t20, where r>1 is a real number. The increase in the population over the time interval [0,t] is given by (t+1 P'(s)ds. (Note that the growth rate decreases in time, reflecting the competition for food and space.) Complete steps (a) through (e) below. a. Using the population model with r=2, what is the increase in the population over the time interval 0sts4? The increase in the population over the given interval is approximately 168 bacteria. (Round down to the nearest integer as needed.) b. Using the population model with r=3, what is the increase in the population over the time interval 0sts6? bacteria. The increase in the population over the given interval is approximately (Round down to the nearest integer as needed.)
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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Can someone please explain it to me ASAP?!! This method of substitution
![The population of a culture of bacteria has a growth rate given by p'(t) =
210
bacteria per hour, for t20, where r>1 is a real number. The increase in the population over the time interval [0,t] is given by
(t + 1)
So
p'(s)ds. (Note that the growth rate decreases in time, reflecting the competition for food and space.) Complete steps (a) through (e) below.
..
a. Using the population model withr=2, what is the increase in the population over the time interval 0sts4?
The increase in the population over the given interval is approximately 168 bacteria.
(Round down to the nearest integer as needed.)
b. Using the population model with r= 3, what is the increase in the population over the time interval 0 sts6?
The increase in the population over the given interval is approximately bacteria.
(Round down to the nearest integer as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11ad9986-04b0-4336-8340-a3038312afe8%2Fac295354-71de-4b2f-b9a4-8e25187109ca%2F5ukuepp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The population of a culture of bacteria has a growth rate given by p'(t) =
210
bacteria per hour, for t20, where r>1 is a real number. The increase in the population over the time interval [0,t] is given by
(t + 1)
So
p'(s)ds. (Note that the growth rate decreases in time, reflecting the competition for food and space.) Complete steps (a) through (e) below.
..
a. Using the population model withr=2, what is the increase in the population over the time interval 0sts4?
The increase in the population over the given interval is approximately 168 bacteria.
(Round down to the nearest integer as needed.)
b. Using the population model with r= 3, what is the increase in the population over the time interval 0 sts6?
The increase in the population over the given interval is approximately bacteria.
(Round down to the nearest integer as needed.)
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