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A study indicates that t months from now the population of a certain town will change at the rate of P'(t) = 5+ Vt² people per month. 3 1) What is the current rate of change? Is the population increasing or a decreasing? 2) What will be the rate of change in 8 months? Is the population increasing or decreasing? 3) By how much will the population increase or decrease over the next 8 months?

A study indicates that t months from now the population of a certain town will change at the rate of P'(t) = 5+ Vt² people per month. 3 1) What is the current rate of change? Is the population increasing or a decreasing? 2) What will be the rate of change in 8 months? Is the population increasing or decreasing? 3) By how much will the population increase or decrease over the next 8 months?

Calculus: Early Transcendentals
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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A study indicates that t months from now the population of a certain town will change at the rate of P'(t) = 5+ Vt² people per month. 3 1) What is the current rate of change? Is the population increasing or a decreasing? 2) What will be the rate of change in 8 months? Is the population increasing or decreasing? 3) By how much will the population increase or decrease over the next 8 months?
Transcribed Image Text:A study indicates that t months from now the population of a certain town will change at the rate of P'(t) = 5+ Vt² people per month. 3 1) What is the current rate of change? Is the population increasing or a decreasing? 2) What will be the rate of change in 8 months? Is the population increasing or decreasing? 3) By how much will the population increase or decrease over the next 8 months?
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