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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)? 3,900,000 1+700e -0.85t

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)? 3,900,000 1+700e -0.85t

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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The number of times a new pop song has been downloaded t weeks after its initial release is given by f(t)=- 1 + 700e 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.) 3,900,000 *** -0.85t
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)=- 1 + 700e 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.) 3,900,000 *** -0.85t
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