a) A population of insects at a rate of 200+10t+0.25t² insects per day (t in days). Find the insect population after 3 days, assuming that there are 35 insects at t = 0. b). The traffic flow rate past a certain point on a highway is q(t) = 3000 + 2000t - 300t² (t hours), where t = 0 is 8 AM. How many cars pass by in the time interval from 8 AM to 10 AM?
a) A population of insects at a rate of 200+10t+0.25t² insects per day (t in days). Find the insect population after 3 days, assuming that there are 35 insects at t = 0. b). The traffic flow rate past a certain point on a highway is q(t) = 3000 + 2000t - 300t² (t hours), where t = 0 is 8 AM. How many cars pass by in the time interval from 8 AM to 10 AM?
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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Transcribed Image Text:Q7
a) A population of insects at a rate of 200+10t+0.25t² insects per day (t in days). Find the insect
population after 3 days, assuming that there are 35 insects at t = 0.
b)
The traffic flow rate past a certain point on a highway is q(t) = 3000 + 2000t - 300t2 (t hours),
where t= 0 is 8 AM. How many cars pass by in the time interval from 8 AM to 10 AM?
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