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Problem 1. The population of a certain city is projected to grow at the rate of 4t r(t) = 300 ( 1+ (0

Problem 1. The population of a certain city is projected to grow at the rate of 4t r(t) = 300 ( 1+ (0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 1. The population of a certain city is projected to grow at the rate of 4t r(t) = 300 (1+ ) (0 <t< 8) 36 + t2 people per year, where t is measured in years. The current population is 300, 000. Using definite integrals, how large will the population be in 8 years? Hint: try to apply the Fundamental Theorem of Calculus using Method 2 for evaluating definite integrals. NOTE: This is the same problem as last week, so you can obviously check your work to make sure you have the right number at the end. However, repeating last week's method exactly will (obviously) not receive credit.
Transcribed Image Text:Problem 1. The population of a certain city is projected to grow at the rate of 4t r(t) = 300 (1+ ) (0 <t< 8) 36 + t2 people per year, where t is measured in years. The current population is 300, 000. Using definite integrals, how large will the population be in 8 years? Hint: try to apply the Fundamental Theorem of Calculus using Method 2 for evaluating definite integrals. NOTE: This is the same problem as last week, so you can obviously check your work to make sure you have the right number at the end. However, repeating last week's method exactly will (obviously) not receive credit.
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