The number of times a new pop song has been downloaded t weeks after its initial release is given by4,000,000f(t) =1+200 e -0.55ta) 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)?

Answered: Image /qna-images/answer/62991e50-efee-4b8b-8409-4256b0811ed6.jpg

Answered: The number of times a new pop song has…

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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Throughout much of the 20th century, the yearly consumption of electricity in the US increased exponentially at a continuous rate of 7% per year. Assume this trend continues and that the electrical energy consumed in 1900 was 1.5 million megawatt-hours. (a) Write an expression for yearly electricity consumption, E, as a function of time, t, in years since 1900. million megawatt-hours (b) Find the average yearly electrical consumption throughout the 20th century. NOTE: Round your answer to the nearest integer. E(t) = million megawatt-hours (c) During what year was electrical consumption closest to the average for the century? NOTE: Round your answer to the nearest integer. During Average Yearly Consumption =
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