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?

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
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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?
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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