If, after t hours on the job, a factory worker can produce $10 t e ^ { - 0.02 t }$ units per hour, then the worker produces 130 units during the first 5 hours.

Name: If, after t hours on the job, a factory worker can produce $10 t e ^ { - 0.02 t }$ units per hour, then the worker produces 130 units during the first 5 hours.
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Question

Quizplus · Accepted Answer

The total units produced in the first 5 hours can be calculated by integrating the rate of production, $10 t e ^ { - 0.02 t }$, from 0 to 5. This integral does not equal 130.

If, After T Hours on the Job, a Factory Worker 10te−0.02t10 t e ^ { - 0.02 t }10te−0.02t

If, After T Hours on the Job, a Factory Worker $10 t e ^ { - 0.02 t }$