Question

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^3 + 6t^2 + 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.?

Name: an efficiency study of the morning shift at a certain factory indicates that an average worker who arrives on the job at 800 am will have produced qt t36t224t units t hours later a compute t 69352
Uploaded: 2022-06-21T22:34:37-08:00
Duration: 2 min 25 s
Channel: Amanda Chavez
Description: an efficiency study of the morning shift at a certain factory indicates that an average worker who arrives on the job at 800 am will have produced qt t36t224t units t hours later a compute t 69352

          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^3 + 6t^2 + 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.?

Added by Geoffrey L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Amanda Chavez

06/21/2022

Step 1

M.** Given Q'(t) = -3t^2 + 12t + 24, we need to find Q'(3) since 11:00 A.M. is 3 hours after 8:00 A.M. Substitute t = 3 into Q'(t): Q'(3) = -3(3)^2 + 12(3) + 24 Q'(3) = -27 + 36 + 24 Q'(3) = 33 Therefore, the worker's rate of production at 11:00 A.M. is 33 units Show more…

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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 Q(t) = -t^3 + 6t^2 + 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.?