WORKER EFFICI ENCY the morning shift at a certain factory indicates that an average worker who arrives on the job at 8:00 A.M. will have assembled An efficiency study of f(x) = -x³ + 6x² + 15x units x hours later. a. Derive a formula for the rate at which the worker will be assembling units after x hours. At what rate will the worker be assembling b. units at 9:00 A.M.? How many units will the worker actually assemble between 9:00 A.M. and 10:00 A.M.? c.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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WORKER EFFICIENCY
the morning shift at a certain factory indicates that
an average worker who arrives on the job at
8:00 A.M. will have assembled
An efficiency study of
f(x) = –x³ + 6x² + 15x units x hours later.
Derive a formula for the rate at which the
a.
worker will be assembling units after x hours.
b. At what rate will the worker be assembling
units at 9:00 A.M.?
c.
How many units will the worker actually
assemble between 9:00 A.M. and 10:00 A.M.?
Transcribed Image Text:WORKER EFFICIENCY the morning shift at a certain factory indicates that an average worker who arrives on the job at 8:00 A.M. will have assembled An efficiency study of f(x) = –x³ + 6x² + 15x units x hours later. Derive a formula for the rate at which the a. worker will be assembling units after x hours. b. At what rate will the worker be assembling units at 9:00 A.M.? c. How many units will the worker actually assemble between 9:00 A.M. and 10:00 A.M.?
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