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Hospital officials estimate that approximately N(p) = p²+5p+900 people will seek treatment in the emer- gency room each year if the population of the community is p thousand. The population is currently 20,000 and is growing at the rate of 1,200 per year. At what rate is the number of people seeking emergency room treatment increasing?

Hospital officials estimate that approximately N(p) = p²+5p+900 people will seek treatment in the emer- gency room each year if the population of the community is p thousand. The population is currently 20,000 and is growing at the rate of 1,200 per year. At what rate is the number of people seeking emergency room treatment increasing?

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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18. Hospital officials estimate that approximately N(p) = p2+5p+900 people will seek treatment in the emer- gency room each year if the population of the community is p thousand. The population is currently 20,000 and is growing at the rate of 1,200 per year. At what rate is the number of people seeking emergency room treatment increasing? 19. Boyle's law states that when gas is compressed at constant temperature, the pressure P of a given sample satisfies the equation PV = C, where V is the volume of the sample and C is a constant. Suppose that at a certain time the volume is 30 in.³, the pressure is 90 lb/in.², and the volume is increasing at the rate of 10 in.³ /s. How fast is the pressure changing at this instant? Is it increasing or decreasing? 3
Transcribed Image Text:18. Hospital officials estimate that approximately N(p) = p2+5p+900 people will seek treatment in the emer- gency room each year if the population of the community is p thousand. The population is currently 20,000 and is growing at the rate of 1,200 per year. At what rate is the number of people seeking emergency room treatment increasing? 19. Boyle's law states that when gas is compressed at constant temperature, the pressure P of a given sample satisfies the equation PV = C, where V is the volume of the sample and C is a constant. Suppose that at a certain time the volume is 30 in.³, the pressure is 90 lb/in.², and the volume is increasing at the rate of 10 in.³ /s. How fast is the pressure changing at this instant? Is it increasing or decreasing? 3
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