WORKER EFFICIENCY 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 +9t2+12tunits thours 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.?
c. Use calculus to estimate the change in the worker’s rate of production between 9:00 and 9:06 a.m.
d. Compute the actual change in the worker’s rate of production between 9:00 and 9:06 a.m.
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