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The number of times a new pop song has been downloaded t weeks after its initial release is given by f(t) = 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 1+600e -0.55

The number of times a new pop song has been downloaded t weeks after its initial release is given by f(t) = 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 1+600e -0.55

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 105E
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The number of times a new pop song has been downloaded t weeks after the initial release is given by

 

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The number of times a new pop song has been downloaded t weeks after its initial release is given by f(t) = 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 1+600e 0.55t
Transcribed Image Text:The number of times a new pop song has been downloaded t weeks after its initial release is given by f(t) = 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 1+600e 0.55t
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