7. The population of a small village is modelled by P(t) = t² + 20t + 1500. where P is population and t stand for the number of years since 1980. Determine the average rate of change (AROC) of the population between 1985 and 1989. [A: 3] 8. Use limit to determine slope of the tangent line to the function f(x) = x² + 3 at x = 4 and then write its equation. [A:3]

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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7. The population of a small village is modelled by P(t) = t² + 20t + 1500.
where P is population and t stand for the number of years since 1980.
Determine the average rate of change (AROC) of the population
between 1985 and 1989. [A: 3]
8. Use limit to determine slope of the tangent line to the function
f (x) =
= x? + 3 at x = 4 and then write its equation. [A:3]
%3D
Transcribed Image Text:7. The population of a small village is modelled by P(t) = t² + 20t + 1500. where P is population and t stand for the number of years since 1980. Determine the average rate of change (AROC) of the population between 1985 and 1989. [A: 3] 8. Use limit to determine slope of the tangent line to the function f (x) = = x? + 3 at x = 4 and then write its equation. [A:3] %3D
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