Q7a) A population of insects at a rate of 200+10t+0.25t² insects per day (t in days). Find the insectpopulation 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?

Hence, the population of insects after 3 days will be 682.25 => i.e. approximately 682 insects…

Answered: a) A population of insects at a rate of…

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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10) The function A = 50(3)' represents the amount of bacteria A present in a petri dish after t hours. Show how to find how long it will take for the bacteria to reach a total of 5000. %3D
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The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by y = 285 − 16t2. (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 2 and lasting the following amount of time. (i) 0.1 seconds (ii)0.05 seconds (iii)0.01 seconds (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds.
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|Given lim,-5 f(x) = 8 and lim,¬5 g(x) = 7, evaluate x→5 x→5 f(x) + g(x) lim x→5 3 f(x) (If the limit does not exist, enter "DNE".) Limit =

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