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The projected year-end assets in a certain country's government trust funds, in trillions of dollars, where t represents the number of years since 2000, can be approximated by A(t) = 0.0000372t³ -0.00380² +0.0532t+2.96, where 0≤t≤ 50. Find the value of t when the assets will decrease most rapidly. Approximately when does this occur?

The projected year-end assets in a certain country's government trust funds, in trillions of dollars, where t represents the number of years since 2000, can be approximated by A(t) = 0.0000372t³ -0.00380² +0.0532t+2.96, where 0≤t≤ 50. Find the value of t when the assets will decrease most rapidly. Approximately when does this occur?

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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The projected year-end assets in a certain country's government trust funds, in trillions of dollars, where t represents the number of years since 2000, can be approximated by A(t) = 0.0000372t³ -0.00380t² +0.0532t+2.96, where 0≤t≤ 50. Find the value of t when the assets will decrease most rapidly. Approximately when does this occur? The assets will decrease most rapidly in the year (Round down to the nearest year as needed.)
Transcribed Image Text:The projected year-end assets in a certain country's government trust funds, in trillions of dollars, where t represents the number of years since 2000, can be approximated by A(t) = 0.0000372t³ -0.00380t² +0.0532t+2.96, where 0≤t≤ 50. Find the value of t when the assets will decrease most rapidly. Approximately when does this occur? The assets will decrease most rapidly in the year (Round down to the nearest year as needed.)
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