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) =
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
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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) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74112254-de6e-4df9-b82e-0f8a39824602%2Fa0a63509-641d-4101-8728-d71b99d0e7e2%2F9zdluz_processed.png&w=3840&q=75)
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) =
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