The number of times a new pop song has been downloaded t weeks after its initial release is given by f(t) = 3,700,000 -0.75t 1+300 e 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.)
The number of times a new pop song has been downloaded t weeks after its initial release is given by f(t) = 3,700,000 -0.75t 1+300 e 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.)
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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please solve all a, b and c parts
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) =
3,700,000
1+300 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
(Do not round until the final answer. Then round to two decimal places as needed.)
weeks.
ce
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