A population of 460 bacterta Is Introduced Into a culture and grows in number according to the equation below, where t is measured in hours. 3t P(t) = 460 1 + 60 + t2 Find P'(t). P'(t) = bacterta/hour Find the rate at whlch the population Is growing when t = 5. (Round your answer to two declmal places.) P'(5) = bacterla/hour

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 61SE: The fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012,...
icon
Related questions
Question
Please answer, thank you!!! All steps
A population of 460 bacterta Is Introduced Into a culture and grows in number according to the equation below, where t is measured in hours.
3t
P(t) = 460 1 +
60 + t2
Find P'(t).
P'(t) =
bacterta/hour
Find the rate at whlch the population Is growing when t = 5. (Round your answer to two decimal places.)
P'(5) =
bacterla/hour
Transcribed Image Text:A population of 460 bacterta Is Introduced Into a culture and grows in number according to the equation below, where t is measured in hours. 3t P(t) = 460 1 + 60 + t2 Find P'(t). P'(t) = bacterta/hour Find the rate at whlch the population Is growing when t = 5. (Round your answer to two decimal places.) P'(5) = bacterla/hour
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning