What is the approximate population of Calcville after 12 years?

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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3. Let y(t) represent the amount of people moving to the town of Calcville per year over a 12-year period, where y is a
differentiable function of t. The table below shows the population change recorded at selected times. The population
of Calcville att = 0 is 8,000 people.
Time
3
8.
12
(year)
y(t)
(people per year)
2850
3017
3220
3224
3432
a. Use the data from the table and trapezoidal approximation with four subintervals. Show the computations that
lead to our answer.
b. What is the approximate population of Calcville after 12 years?
Transcribed Image Text:3. Let y(t) represent the amount of people moving to the town of Calcville per year over a 12-year period, where y is a differentiable function of t. The table below shows the population change recorded at selected times. The population of Calcville att = 0 is 8,000 people. Time 3 8. 12 (year) y(t) (people per year) 2850 3017 3220 3224 3432 a. Use the data from the table and trapezoidal approximation with four subintervals. Show the computations that lead to our answer. b. What is the approximate population of Calcville after 12 years?
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