2- An efficiency study of the morning shift at a certain factory indicates that an average worker who arrives on the job at 8:00 A.M. will have produced Q(t) = -t' + 6t? + 24t units t hours later. a. Compute the worker's rate of production at 11:00 A.M. b. At what rate is the worker's rate of production changing with respect to time at 11:00 A.M. ?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 39CT: The population P (in millions) of Texas from 2001 through 2014 can be approximated by the model...
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An efficiency study of the morning shift at a certain factory indicates that an average worker who arrives
on the job at 8:00 A.M. will have produced
2-
Q(t) = -° + 61² + 24t
units t hours later.
a. Compute the worker's rate of production at 11:00 A.M.
b. At what rate is the worker's rate of production changing with respect to time at 11:00 A.M. ?
Transcribed Image Text:An efficiency study of the morning shift at a certain factory indicates that an average worker who arrives on the job at 8:00 A.M. will have produced 2- Q(t) = -° + 61² + 24t units t hours later. a. Compute the worker's rate of production at 11:00 A.M. b. At what rate is the worker's rate of production changing with respect to time at 11:00 A.M. ?
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