The carbon monoxide level in a city is predicted to be 0.02x3/2 + 1 ppm (parts per million), where x is the population in thousands. In t years the population of the city is predicted to be x(t) = 12 + 2t thousand people. Therefore, in t years the carbon monoxide level will be P(t) = 0.02(12 + 2t) 3/2 + 1 ppm. Find P'(12), the rate at which carbon monoxide pollution will be increasing in 12 years. P'(12) =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
icon
Related questions
Question
3/2
The carbon monoxide level in a city is predicted to be 0.02x³
be x(t)
+ 1 ppm (parts per million), where x is the population in thousands. In t years the population of the city is predicted to
12 + 2t thousand people. Therefore, in t years the carbon monoxide level will be
P(t) = 0.02(12 + 2t) ³/2 + 1 ppm.
=
Find P'(12), the rate at which carbon monoxide pollution will be increasing in 12 years.
P'(12) =
Transcribed Image Text:3/2 The carbon monoxide level in a city is predicted to be 0.02x³ be x(t) + 1 ppm (parts per million), where x is the population in thousands. In t years the population of the city is predicted to 12 + 2t thousand people. Therefore, in t years the carbon monoxide level will be P(t) = 0.02(12 + 2t) ³/2 + 1 ppm. = Find P'(12), the rate at which carbon monoxide pollution will be increasing in 12 years. P'(12) =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax