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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'(2), the rate at which carbon monoxide pollution will be increasing in 2 years. P'(2) =

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'(2), the rate at which carbon monoxide pollution will be increasing in 2 years. P'(2) =

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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'(2), the rate at which carbon monoxide pollution will be increasing in 2 years. P'(2) =
Transcribed Image Text: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'(2), the rate at which carbon monoxide pollution will be increasing in 2 years. P'(2) =
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