Annual U.S. factory sales of consumer electronics goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.0388t³ -0.495t² + 5.698t + 43.6 where output is measured in billion dollars and t is the number of years since 1990.+

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 9CC
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Annual U.S. factory sales of consumer electronics goods to dealers from 1990 through 2001 can be modeled as
s(t) = 0.0388t³ - 0.495t² + 5.698t + 43.6
where output is measured in billion dollars and t is the number of years since 1990.†
(a) Numerically estimate the derivative of s when t = 11. (Round your answer to one decimal place.)
billion dollars per year
(b) Interpret the answer to part (a).
At the beginning of year
annual U.S. factory sales of consumer electronics goods to dealers were increasing by approximately $
billion per year.
Transcribed Image Text:Annual U.S. factory sales of consumer electronics goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.0388t³ - 0.495t² + 5.698t + 43.6 where output is measured in billion dollars and t is the number of years since 1990.† (a) Numerically estimate the derivative of s when t = 11. (Round your answer to one decimal place.) billion dollars per year (b) Interpret the answer to part (a). At the beginning of year annual U.S. factory sales of consumer electronics goods to dealers were increasing by approximately $ billion per year.
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