An efficiency study of the morning shift at a certain factory indicates that an average worker arriving on the job at 8 00 A M will have produced Q(t) t 3 8t 2 15t units t hours later a Compute the workers rate of production R(t) Q '(t) b At what rate is the workers rate of production changing with respect to time at 9 00 A M

Question: An efficiency study of the morning shift at a certain factory indicates that an average worker arriving on the job at 8:00 A.M. will have

An efficiency study of the morning shift at a certain factory indicates that an average worker arriving on the job at 8:00 A.M. will have produced Q(t) = −t³ + 8t² + 15t units t hours later.

a. Compute the worker’s rate of production R(t) = Q'(t).

b. At what rate is the worker’s rate of production changing with respect to time at 9:00 A.M.?

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