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3,000,000 The number of times a new pop song has been downloaded t weeks after its initial release is given by f(t) = 1+ 700 e -0.75t a) After how many weeks is the rate of change of the number of downloads maximized? b) What is the rate of change of the number of downloads at the time found in part (a)? c) How many times has the song been downloaded at the time found in part (a)? a) The rate of change of the number of downloads is maximized after weeks. (Do not round until the final answer. Then round to two decimal places as needed.)

3,000,000 The number of times a new pop song has been downloaded t weeks after its initial release is given by f(t) = 1+ 700 e -0.75t a) After how many weeks is the rate of change of the number of downloads maximized? b) What is the rate of change of the number of downloads at the time found in part (a)? c) How many times has the song been downloaded at the time found in part (a)? a) The rate of change of the number of downloads is maximized after weeks. (Do not round until the final answer. Then round to two decimal places as needed.)

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 30CR
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3,000,000 The number of times a new pop song has been downloaded t weeks after its initial release is given by f(t) 1+700 e -0.75f www. a) After how many weeks is the rate of change of the number of downloads maximized? b) What is the rate of change of the number of downloads at the time found in part (a)? c) How many times has the song been downloaded at the time found in part (a)? a) The rate of change of the number of downloads is maximized after weeks. (Do not round until the final answer. Then round to two decimal places as needed.)
Transcribed Image Text:3,000,000 The number of times a new pop song has been downloaded t weeks after its initial release is given by f(t) 1+700 e -0.75f www. a) After how many weeks is the rate of change of the number of downloads maximized? b) What is the rate of change of the number of downloads at the time found in part (a)? c) How many times has the song been downloaded at the time found in part (a)? a) The rate of change of the number of downloads is maximized after weeks. (Do not round until the final answer. Then round to two decimal places as needed.)
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