The number of times a new pop song has been downloaded t weeks after its initial release is given 3,700,000 by f(t) = -0.75t 1+200e 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)?
The number of times a new pop song has been downloaded t weeks after its initial release is given 3,700,000 by f(t) = -0.75t 1+200e 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)?
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 its initial release is given
3,700,000
by f(t) =
1 + 200e
- 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)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F874d38dc-82c2-402d-8dd1-7f9b0fcb48a1%2F06ad3ded-fcca-407c-8523-6542335f6c03%2F0nrxr2d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The number of times a new pop song has been downloaded t weeks after its initial release is given
3,700,000
by f(t) =
1 + 200e
- 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)?
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