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CalculusQ&A LibraryBecause a new employee must learn an assigned task, production will increase with time. Suppose that for the average new employee, the rate of performance is given bydN/dt= 1/2(t+1)^-1where N is the number of units completed t hours after beginning a new task. If 2 units are completed after 3 hours, how many units are completed after 8 hours?Question

Asked Jul 29, 2019

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Because a new employee must learn an assigned task, production will increase with time. Suppose that for the average new employee, the rate of performance is given by

dN/dt= 1/2(t+1)^-1

where N is the number of units completed t hours after beginning a new task. If 2 units are completed after 3 hours, how many units are completed after 8 hours?

Step 1

To find the number of units completed in *t* hours by the new employee, integrate the rate of performance with respect to time as follows.

Step 2

To find the number of units produced after 8 hours, substitute *t = 8* in *N(t).*

Step 3

But this is not making any sense here, as 2 units were made in 3 hours and 2.4 units in 8 hours. There is a typing mistake in the function it seems. Assuming the equation from the internet source, ...

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