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94. Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the atmosphere on a certain May day in the city of Long Beach is approximated by 136 A (t) = 1+0.25(t – 4.5)² (0

94. Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the atmosphere on a certain May day in the city of Long Beach is approximated by 136 A (t) = 1+0.25(t – 4.5)² (0

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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13) I need immediate help with a calculus question 

94. Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the atmosphere on a certain May day in the city of Long Beach is approximated by 136 A (t) = 1+0.25(t – 4.5)² (0 <t < 11) + 28 where A (t) is measured in pollutant standard index (PSI) and t is measured in hours, with t = 0 corresponding to 7 A.M. Find the intervals where A is increasing and where A is decreasing, and interpret your results.
Transcribed Image Text:94. Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the atmosphere on a certain May day in the city of Long Beach is approximated by 136 A (t) = 1+0.25(t – 4.5)² (0 <t < 11) + 28 where A (t) is measured in pollutant standard index (PSI) and t is measured in hours, with t = 0 corresponding to 7 A.M. Find the intervals where A is increasing and where A is decreasing, and interpret your results.
13. Use Geogebra CAS to solve Question 94 from the Textbook Section 4.1 Exercises (page 268). * Define A(t) and find A'(t). * Use the Solve () command to find critical points. * Use the first derivative test by substituting values to verify where the function is increasing and decreasing. You should have two values. * Indicate on the graph where the function is increasing and decreasing, and add labels with the corresponding intervals. * Submit a screen shot of your solution and a written interpretation of the results.
Transcribed Image Text:13. Use Geogebra CAS to solve Question 94 from the Textbook Section 4.1 Exercises (page 268). * Define A(t) and find A'(t). * Use the Solve () command to find critical points. * Use the first derivative test by substituting values to verify where the function is increasing and decreasing. You should have two values. * Indicate on the graph where the function is increasing and decreasing, and add labels with the corresponding intervals. * Submit a screen shot of your solution and a written interpretation of the results.
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