After t hours on the job, a factory worker can produce $130 t e ^ { - 0.5 t }$ units per hour. How many units does the worker produce during the first 4 hours? Round to two decimal places.
A) 211.12 units
B) 308.88 units
C) 731.12 units
D) 344.06 units

Question

Quizplus · Accepted Answer

To find the total units produced in the first 4 hours, integrate the rate function $130 t e^{-0.5t}$ from 0 to 4. The integral evaluates to approximately 308.88 units.

After T Hours on the Job, a Factory Worker Can 130te−0.5t130 t e ^ { - 0.5 t }130te−0.5t

After T Hours on the Job, a Factory Worker Can $130 t e ^ { - 0.5 t }$