. The daily amount of smog produced by cars coming into a city is given by y = 2 + 0.01x3/2, where y is smog concentration in ppm and x is the number of cars in the thousands. The number of cars coming into the city is increasing at the rate of 250 per day. Find the rate at which the smog concentration will be changing when 225,000 cars are coming into the city. A new disease that affects hirch trees is introduced into a locality

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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1. The daily amount of smog produced by cars coming into a city is
given by y = 2 + 0.01x3/2, where y is smog concentration in ppm
and x is the number of cars in the thousands. The number of cars
coming into the city is increasing at the rate of 250 per day. Find
the rate at which the smog concentration will be changing when
225,000 cars are coming into the city.
2. A new disease that affects birch trees is introduced into a locality,
and t years later the proportion of birches that have the disease is
t²+8t+2
y =
What was the maximum proportion of birches that
4t²+24
contracted the disease?
Transcribed Image Text:1. The daily amount of smog produced by cars coming into a city is given by y = 2 + 0.01x3/2, where y is smog concentration in ppm and x is the number of cars in the thousands. The number of cars coming into the city is increasing at the rate of 250 per day. Find the rate at which the smog concentration will be changing when 225,000 cars are coming into the city. 2. A new disease that affects birch trees is introduced into a locality, and t years later the proportion of birches that have the disease is t²+8t+2 y = What was the maximum proportion of birches that 4t²+24 contracted the disease?
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