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?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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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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