mittensspotp4l3kn mittensspotp4l3kn
  • 23-02-2018
  • Mathematics
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Assume that after t hours on the job, a factory worker can produce 100te^-.5t units per hour. How many units does the worker produce during the first three hours?

Respuesta :

11beehshahbaz 11beehshahbaz
  • 02-03-2018
The number of units produced by the worker during t hours of work can be modelled by the following function:

[tex]N(t)=100t e^{(-0.5t)} [/tex]

To find the number of units produced during first 3 hours, we can substitute 3 for t. This will give us the number of units produced by the worker during first 3 hours.

[tex]N(3)=100(3) e^{-0.5(3)} = 67[/tex]

Thus the worker will produce 67 units during the first 3 hours of the work. 
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