t(hours) 1 70 2 82 3 86 7 115 8 121 M'(t)(shirts/hour) Designs by AP makes...

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t(hours) 1 70 2 82 3 86 7 115 8 121 M'(t)(shirts/hour) Designs by AP makes and sells shirts. The number of shirts that have been produced at time t hours after the start of the work-day can be modeled by M (t), where M is twice-differentiable and t is measured in hours for 0t 8. The table gives values of M' (t), the rate of change in M, at selected times during the workday. a) Approximate M (5) using the average rate of change of M' over the interval 3 t 7. Show the setup for your calculations. Using correct units, interpret the meaning of M11 (5) in the context of this problem. t(hours) 1 70 2 82 3 86 7 115 8 121 M'(t)(shirts/hour) Designs by AP makes and sells shirts. The number of shirts that have been produced at time t hours after the start of the work-day can be modeled by M (t), where M is twice-differentiable and t is measured in hours for 0t 8. The table gives values of M' (t), the rate of change in M, at selected times during the workday. a) Approximate M (5) using the average rate of change of M' over the interval 3 t 7. Show the setup for your calculations. Using correct units, interpret the meaning of M11 (5) in the context of this problem.